Keyword

amenability

Description: Amenability is a mathematical property of groups and related structures, characterized by the existence of an invariant mean or equivalent conditions.

Primary topic: Advanced Operator Algebra Research (54%)

OpenAlex ID: keywords/amenability

Ergodic Theory and Semisimple Groups

1984 · Robert J. Zimmer · Birkhäuser Boston eBooks · 1,131

Convex analysis and nonlinear optimization : theory and examples

2000 · Jonathan M. Borwein, Adrian S. Lewis · University of Maribor digital library (University of Maribor) · 811

Invariant means on topological groups and their applications

1969 · Frederick Greenleaf · Medical Entomology and Zoology · 598

Processes on Unimodular Random Networks

2007 · David Aldous, Russell Lyons · Electronic Journal of Probability · 418

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Lectures on Amenability

2002 · Volker Runde · Lecture notes in mathematics · 414

Invariant Means on Topological Groups

1969 · Greenleaf, P Frederick · 375

Amenability

1988 · Alan Paterson · Mathematical surveys and monographs · 329

Amenable semigroups

1957 · Mahlon M. Day · Illinois Journal of Mathematics · 306

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Topological Methods in Group Theory

2018 · Cambridge University Press eBooks · 297

Topics in Orbit Equivalence

2004 · Alexander S. Kechris · Lecture notes in mathematics · 251

Uniform spanning forests

2001 · Itai Benjamini, Russell Lyons, et al. · The Annals of Probability · 243

A Theory of Dimension

1997 · R. LONGO, J. E. ROBERTS · K-Theory · 234

Amenability and Weak Amenability for Beurling and Lipschitz Algebras

1987 · W. G. Bade, P. C. Curtis, et al. · Proceedings of the London Mathematical Society · 234

Group-invariant Percolation on Graphs

1999 · I. Benjamini, R. Lyons, et al. · Geometric and Functional Analysis · 212

Geometric Group Theory

2018 · Cornelia Druţu, Michael Kapovich · Colloquium Publications - American Mathematical Society/Colloquium Publications · 207

Group invariance in applications in statistics

1989 · Morris L. Easton · NSF-CBMS regional conference series in probability and statistics · 198

All nuclearC *-algebras are amenable

1983 · U. Haagerup · Inventiones mathematicae · 196

Global Aspects of Ergodic Group Actions

2010 · Alexander Kechris · Mathematical surveys and monographs · 183

Introduction To Arithmetic Groups

2001 · Morris, Dave Witte · arXiv (Cornell University) · 176

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Semigroup Crossed Products and the Toeplitz Algebras of Nonabelian Groups

1996 · Marcelo Laca, Iain Raeburn · Journal of Functional Analysis · 176

Partial Dynamical Systems, Fell Bundles and Applications

2017 · Ruy Exel · Mathematical surveys and monographs · 165

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Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras

1972 · B. E. Johnson · American Journal of Mathematics · 163

Banach algebras on semigroups and on their compactifications

2010 · H. Dales, A. Lau, et al. · Memoirs of the American Mathematical Society · 162

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Weak Amenability of Group Algebras

1991 · B. E. Johnson · Bulletin of the London Mathematical Society · 148

Amenability for Fell bundles.

1997 · Ruy Exel · Journal für die reine und angewandte Mathematik (Crelles Journal) · 147

Works count: 1,422

Citation count: 18,900