2018 |
Willis GA, 'Homological properties of the Algebra of compact operators on a banach space', Rocky Mountain Journal of Mathematics, 48 687-701 (2018) [C1]
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2017 |
Willis GA, 'THE SCALE FUNCTION AND LATTICES', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 145 3185-3190 (2017) [C1]
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2017 |
Caprace P-E, Reid CD, Willis GA, 'LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY', FORUM OF MATHEMATICS SIGMA, 5 (2017) [C1]
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2017 |
Caprace P-E, Reid CD, Willis GA, 'LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS', FORUM OF MATHEMATICS SIGMA, 5 (2017) [C1]
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2017 |
Willis GA, 'Computing the scale of an endomorphism of a totally disconnected locally compact group', Axioms, 6 (2017) [C1]
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2016 |
Baumgartner U, Ramagge J, Willis GA, 'Scale-multiplicative semigroups and geometry: Automorphism groups of trees', Groups, Geometry, and Dynamics, 10 1051-1075 (2016) [C1]
© European Mathematical Society. A scale-multiplicative semigroup in a totally disconnected, locally compact group G is one for which the restriction of the scale function on G is... [more]
© European Mathematical Society. A scale-multiplicative semigroup in a totally disconnected, locally compact group G is one for which the restriction of the scale function on G is multiplicative The maximal scale-multiplicative semigroups in groups acting 2-transitively on the set of ends of trees without leaves are determined and shown to correspond to geometric features of the tree.
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2015 |
Willis GA, 'The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups', MATHEMATISCHE ANNALEN, 361 403-442 (2015) [C1]
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2015 |
Banks C, Elder M, Willis GA, 'Simple groups of automorphisms of trees determined by their actions on finite subtrees', JOURNAL OF GROUP THEORY, 18 235-261 (2015) [C1]
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2015 |
Hofmann KH, Willis GA, 'Continuity Characterizing Totally Disconnected Locally Compact Groups', JOURNAL OF LIE THEORY, 25 1-7 (2015) [C1]
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2014 |
Caprace P-E, Reid CD, Willis GA, 'Limits of contraction groups and the tits core', Journal of Lie Theory, 24 957-967 (2014) [C1]
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2014 |
Willis GA, 'The nub of an automorphism of a totally disconnected, locally compact group', Ergodic Theory and Dynamical Systems, 34 1365-1394 (2014) [C1]
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2013 |
Shalom Y, Willis GA, 'Commensurated Subgroups of Arithmetic Groups, Totally Disconnected Groups and Adelic Rigidity', GEOMETRIC AND FUNCTIONAL ANALYSIS, 23 1631-1683 (2013) [C1]
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2013 |
Caprace P-E, Reid CD, Willis GA, 'Locally normal subgroups of simple locally compact groups', Comptes Rendus Mathematique, 351 657-661 (2013) [C1]
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2012 |
Baumgartner U, Moller RG, Willis GA, 'Hyperbolic groups have flat-rank at most 1', Israel Journal of Mathematics, 190 365-388 (2012) [C1]
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2012 |
Willis GA, 'Probability measures on semigroups: Convolution products, random walks and random matrices [Book Review]', SIAM Review, 54 414-416 (2012) [C3] |
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2010 |
Baumgartner U, Schlichting G, Willis GA, 'Geometric characterization of flat groups of automorphisms', Groups, Geometry, and Dynamics, 4 1-13 (2010) [C1]
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2010 |
Ghahramani F, Read CJ, Willis GA, 'Closed ideal structure and cohomological properties of certain radical Banach algebras', Proceedings of the London Mathematical Society, 100 533-559 (2010) [C1]
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2010 |
Glockner H, Willis GA, 'Classification of the simple factors appearing in composition series of totally disconnected contraction groups', Journal Fur Die Reine Und Angewandte Mathematik, 141-169 (2010) [C1]
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2009 |
Baumgartner U, Laca M, Ramagge J, Willis GA, 'Hecke algebras from groups acting on trees and HNN extensions', Journal of Algebra, 321 3065-3088 (2009) [C1]
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2007 |
Baumgartner U, Remy B, Willis GA, 'Flat rank of automorphism groups of buildings', Transformation Groups, 12 413-436 (2007) [C1]
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2007 |
Glockner H, Willis GA, 'Directions of automorphisms of Lie groups over local fields compared to the directions of Lie algebra automorphisms', Topology Proceedings, 31 481-501 (2007) |
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2007 |
Willis GA, 'Compact open subgroups in simple totally disconnected groups', Journal of Algebra, 312 405-417 (2007) [C1]
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2006 |
Dani SG, Shah NA, Willis GA, 'Locally compact groups with dense orbits under Z(d)-actions by automorphisms', Ergodic Theory and Dynamical Systems, 26 1443-1465 (2006) [C1]
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2006 |
Baumgartner U, Willis GA, 'The direction of an automorphism of a totally disconnected locally compact group', Mathematische Zeitschrift, 252 393-428 (2006) [C1]
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2006 |
Baumgartner U, Ramagge J, Willis GA, 'A compactly generated group whose Hecke algebras admit no bounds on their representations', Glasgow Mathematical Journal, 48 193-201 (2006) [C1]
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2004 |
Willis GA, 'A noncommutative half-angle formula', Bulletin of Australian Mathematical Society, 69 369-382 (2004) [C1]
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2004 |
Abdollahi A, Rejali A, Willis GA, 'Group Properties characterised by configurations', Illinois Journal of Mathematics, 48 861-873 (2004) [C1]
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2004 |
Baumgartner U, Willis GA, 'Contraction groups and scales of automorphisms of totally disconnected locally compact groups', Israel Journal of Mathematics, 142 221-248 (2004) [C1]
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2004 |
Willis GA, 'Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of Matrices', New York Journal of Mathematics, 10 1-35 (2004) [C1]
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2001 |
Glockner H, Willis GA, 'Uniscalar p-adic Lie groups', FORUM MATHEMATICUM, 13 413-421 (2001) [C1]
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2001 |
Rosenblatt JM, Willis GA, 'Weak convergence is not strong convergence for amenable groups', Canadian Math. Bull., 44 231-241 (2001) [C1]
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2001 |
Willis GA, 'Further properties of the scale function on a totally disconnected group', Journal of Algebra, 237 142-164 (2001) [C1]
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2001 |
Willis GA, 'The number of prime factors of the scale function on a compactly generated group is finite', Bulletin London Mathematical Society, 33 168-174 (2001) [C1]
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2001 |
Willis GA, 'Factorization in finite-codimensional ideals of group algebras', Proc. London Math. Soc., 82 676-700 (2001) [C1]
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2001 |
Kepert AG, Willis G, 'Scale Functions and Tree Ends', Journal of Australian Mathematics Society, 70 273-292 (2001) [C1]
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2000 |
Willis GA, Loy RJ, Read CJ, Runde V, 'Amenable and weakly amenable Banach algebras with compact multiplication', Journal of Functional Analysis, 171 78-114 (2000) [C1]
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2000 |
Willis GA, Ghahramani F, Runde V, 'Derivations on Group Algebras', Proceedings of the London Mathematical Society, 80 360-390 (2000) [C1]
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2000 |
Willis GA, 'An extension of a non-commutative Choquet-Deny Theorem', Proceedings of the American Mathematical Society, 128 111-118 (2000) [C1]
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1997 |
Willis G, 'Totally disconnected, nilpotent, locally compact groups', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 55 143-146 (1997)
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1997 |
Gronbaek N, Willis GA, 'Embedding nilpotent finite dimensional Banach algebras into amenable Banach algebras', JOURNAL OF FUNCTIONAL ANALYSIS, 145 99-107 (1997)
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1997 |
Ross KA, Willis G, 'Riemann sums and modular functions on locally compact groups', PACIFIC JOURNAL OF MATHEMATICS, 180 325-331 (1997)
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1996 |
Ghahramani F, Loy RJ, Willis GA, 'Amenability and weak amenability of second conjugate Banach algebras', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 124 1489-1497 (1996)
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1996 |
Jaworski W, Rosenblatt J, Willis G, 'Concentration functions in locally compact groups', MATHEMATISCHE ANNALEN, 305 673-691 (1996)
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1996 |
Lau ATM, Loy RJ, Willis GA, 'Amenability of Banach and C-*-algebras on locally compact groups', STUDIA MATHEMATICA, 119 161-178 (1996)
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1995 |
Willis GA, 'When the algebra generated by an operator is amenable', Journal of Operator Theory, 34 239-250 (1995) |
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1995 |
WILLIS G, 'TOTALLY DISCONNECTED GROUPS AND PROOFS OF CONJECTURES OF HOFMANN AND MUKHERJEA', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 51 489-494 (1995)
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1995 |
WILLIS GA, 'COMPRESSIBLE OPERATORS AND THE CONTINUITY OF HOMOMORPHISMS FROM ALGEBRAS OF OPERATORS', STUDIA MATHEMATICA, 115 251-259 (1995)
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1994 |
Sitaram A, Willis GA, 'Lp-Functions Satisfying the Mean Value Property on Homogeneous Spaces', Journal of the Australian Mathematical Society, 56 384-390 (1994)
It is proved That on certain kINDs of homogeneous Spaces, The only Lpfunction, 1 < p < oo, satisfying the mean value property is the zero function. 1991 Mathematics subject ... [more]
It is proved That on certain kINDs of homogeneous Spaces, The only Lpfunction, 1 < p < oo, satisfying the mean value property is the zero function. 1991 Mathematics subject classification (Amer: Math. Soc.): 22 E 99,43 A 85. © 1994, Australian Mathematical Society. All rights reserved.
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1994 |
Willis G, 'Factorization in Banach algebras', Linear and Complex Analyisis Problem Book 3: Lecture Notes in Mathematics, 1573 87-89 (1994) |
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1994 |
LOY RJ, WILLIS GA, 'THE APPROXIMATION PROPERTY AND NILPOTENT IDEALS IN AMENABLE BANACH-ALGEBRAS', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 49 341-346 (1994)
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1994 |
Gronbaek N, Johnson BE, Willis GA, 'AMENABILITY OF BANACH ALGEBRAS OF COMPACT OPERATORS', ISRAEL JOURNAL OF MATHEMATICS, 87 289-324 (1994)
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1994 |
DALES HG, LOY RJ, WILLIS GA, 'HOMOMORPHISMS AND DERIVATIONS FROM B(E)', JOURNAL OF FUNCTIONAL ANALYSIS, 120 201-219 (1994)
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1994 |
WILLIS G, 'THE STRUCTURE OF TOTALLY DISCONNECTED, LOCALLY COMPACT-GROUPS', MATHEMATISCHE ANNALEN, 300 341-363 (1994)
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1993 |
Somerset DWB, Willis GA, 'On the closure of the prime radical of a Banach algebra', Proceedings of the Edinburgh Mathematical Society (Series 2), 36 421-425 (1993)
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1993 |
Grønbæk N, Willis GA, 'Approximate identities in Banach algebras of compact operators', Canadian Mathematical Bulletin, 36 45-53 (1993) |
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1992 |
Willis G, 'The Continuity Of Derivations From Group Algebras: Factorizable And Connected Groups', Journal of the Australian Mathematical Society, 52 185-204 (1992)
A group is said to be factorizable if it has a finite number of abelian subgroups, H1H2Hnsuch that G = H1H2HnIt is shown that, if G is a factorizable or connected locally compact ... [more]
A group is said to be factorizable if it has a finite number of abelian subgroups, H1H2Hnsuch that G = H1H2HnIt is shown that, if G is a factorizable or connected locally compact group, then every derivation from Cl(G) to an arbitrary C(G)-bimodule X is continuous. © 1992, Australian Mathematical Society. All rights reserved.
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1992 |
Dixon PG, Willis GA, 'Approximate identities in extensions of topologically nilpotent Banach algebras', Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 122 45-52 (1992) |
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1992 |
Willis GA, 'The compact approximation property does not imply the approximation property', Studia Mathematica, 99-108 (1992) |
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1992 |
Willis G, 'Examples of factorization without bounded approximate units', Proceedings of the London Mathematical Society, s3-64 602-624 (1992)
Examples are given of Banach algebras which do not have bounded approximate units but in which every element is a product. Another algebra is constructed in which there are elemen... [more]
Examples are given of Banach algebras which do not have bounded approximate units but in which every element is a product. Another algebra is constructed in which there are elements which are not products but every element is the sum of two products. Most of the examples are commutative and separable. These examples suggest that there may be a connection between factorization questions and the topology of the carrier space of a Banach algebra. © 1992 University of North Carolina Press.
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1991 |
MORAN W, WILLIS GA, 'BOUNDARIES AND MODULAR IDEALS ON LOCALLY COMPACT-GROUPS', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 112 819-827 (1991)
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1990 |
WILLIS GA, 'PROBABILITY-MEASURES ON GROUPS AND SOME RELATED IDEALS IN GROUP-ALGEBRAS', JOURNAL OF FUNCTIONAL ANALYSIS, 92 202-263 (1990)
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1989 |
LOY RJ, WILLIS GA, 'CONTINUITY OF DERIVATIONS ON B(E) FOR CERTAIN BANACH SPACES-E', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 40 327-346 (1989)
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1988 |
WILLIS GA, 'CONTINUITY OF TRANSLATION INVARIANT LINEAR FUNCTIONALS ON C0(G) FOR CERTAIN LOCALLY COMPACT GROUPS-G', MONATSHEFTE FUR MATHEMATIK, 105 161-164 (1988)
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1986 |
WILLIS GA, 'THE CONTINUITY OF DERIVATIONS AND MODULE HOMOMORPHISMS', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 40 299-320 (1986)
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1986 |
WILLIS GA, 'TRANSLATION INVARIANT FUNCTIONALS ON LP(G) WHEN G IS NOT AMENABLE', JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 41 237-250 (1986)
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1983 |
Willis GA, 'Factorization in codimension two ideals of group algebras', Proceedings of the American Mathematical Society, 89 95-100 (1983)
Let G be a finitely generated group and I be a closed, two-sided ideal with codimension two in L1(G). Then the linear span of the set of all products in is equal to I. © 1983 Amer... [more]
Let G be a finitely generated group and I be a closed, two-sided ideal with codimension two in L1(G). Then the linear span of the set of all products in is equal to I. © 1983 American Mathematical Society.
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1982 |
Willis G, 'Factorization in codimension one ideals of group algebras', Proceedings of the American Mathematical Society, 86 599-601 (1982)
It is shown that if G is a locally compact group and I is a closed, two-sided ideal with codimension one in L1(G), then I2 = I. © 1982 American Mathematical Society.... [more]
It is shown that if G is a locally compact group and I is a closed, two-sided ideal with codimension one in L1(G), then I2 = I. © 1982 American Mathematical Society.
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1982 |
Willis GA, 'Approximate Units in Finite Codimensional Ideals of Group Algebras', Journal of the London Mathematical Society, s2-26 143-154 (1982)
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