Keyword

amenable groups

Description: Amenable groups are topological groups that admit an invariant mean, a property studied in abstract harmonic analysis and geometric group theory.

Primary topic: Advanced Operator Algebra Research (42%)

Wikidata ID: wiki/Q1857002

OpenAlex ID: keywords/amenable-groups

Entropy and isomorphism theorems for actions of amenable groups

1987 · Donald S. Ornstein, Benjamin Weiss · Journal d Analyse Mathématique · 584

Random Walks on Discrete Groups: Boundary and Entropy

1983 · V. A. Kaimanovich, A. M. Vershik · The Annals of Probability · 535

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Degrees of Growth of Finitely Generated Groups, and the Theory of Invariant Means

1985 · R I Grigorchuk · Mathematics of the USSR-Izvestiya · 477

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Amenable Locally Compact Groups

1984 · Jean-Paul Pier · 390

Crossed products of C*-algebras

2007 · Dana P. Williams · 385

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Amenability

1988 · Alan Paterson · Mathematical surveys and monographs · 329

Pointwise theorems for amenable groups

2001 · Elon Lindenstrauss · Inventiones mathematicae · 277

Harmonic synthesis for subgroups

1973 · Carl S. Herz · Annales de l’institut Fourier · 263

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On nuclear C∗-algebras

1973 · Christopher Lance · Journal of Functional Analysis · 261

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Amenable ergodic group actions and an application to Poisson boundaries of random walks

1978 · Robert J Zimmer · Journal of Functional Analysis · 223

Coût des relations d’équivalence et des groupes

2000 · Damien Gaboriau · Inventiones mathematicae · 208

Pointwise theorems for amenable groups

1999 · Elon Lindenstrauss · Electronic Research Announcements of the American Mathematical Society · 189

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Cantor systems, piecewise translations and simple amenable groups

2013 · Kate Juschenko, Nicolas Monod · Annals of Mathematics · 179

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Elementary amenable groups

1980 · Ching Chou · Illinois Journal of Mathematics · 174

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Actions of discrete amenable groups on von neumann algebras

1985 · Adrian Ocneanu · Lecture notes in mathematics · 173

Sofic Groups and Dynamical Systems

2000 · Benjamin Weiss · 139

Character amenability of Banach algebras

2008 · MEHDI SANGANI MONFARED · Mathematical Proceedings of the Cambridge Philosophical Society · 121

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Approximating L 2 ‐invariants and the Atiyah conjecture

2003 · Józef Dodziuk, Peter Linnell, et al. · Communications on Pure and Applied Mathematics · 116

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Amenable unitary representations of locally compact groups

1990 · Mohammed E. B. Bekka · Inventiones mathematicae · 116

On free actions, minimal flows, and a problem by Ellis

1998 · Vladimir G. Pestov · Transactions of the American Mathematical Society · 114

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Ergodic Theory and Statistical Mechanics

1985 · Jean Moulin Ollagnier · Lecture notes in mathematics · 112

The Shannon-McMillan-Breiman theorem for a class of amenable groups

1983 · Donald Ornstein, Benjamin Weiss · Israel Journal of Mathematics · 111

K-theoretic amenability for discrete groups.

1983 · Joachim Cuntz · Journal für die reine und angewandte Mathematik (Crelles Journal) · 110

Harmonic analysis, cohomology, and the large-scale geometry of amenable groups

2004 · Yehuda Shalom · Acta Mathematica · 106

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A note on covariant dynamical semigroups

1993 · A.S. Holevo · Reports on Mathematical Physics · 105

Works count: 1,715

Citation count: 18,150