The $K$-theory of Gromov’s translation algebras and the amenability of discrete groups

DOI10.1090/S0002-9939-97-04056-2zbMath0890.20027OpenAlexW2134308891MaRDI QIDQ4372355

Gábor Elek

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04056-2

zbMATH Keywords

finitely generated groupsamenabilitytranslation algebras

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (9)

ON ALGEBRAS THAT HAVE ALMOST FINITE DIMENSIONAL REPRESENTATIONS ⋮ Amenability of coarse spaces and \(\mathbb {K}\)-algebras ⋮ Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Amenability and uniform Roe algebras ⋮ Uniformly recurrent subgroups and simple \(C^{\ast}\)-algebras ⋮ Gromov's translation algebras, growth and amenability of operator algebras ⋮ Generating numbers of rings graded by amenable and supramenable groups ⋮ Uniform \(K\)-homology theory ⋮ Stable finiteness of group rings in arbitrary characteristic

Cites Work

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• An index theorem on open manifolds. I. II
• Potential theory on infinite networks
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• Automaticity, goals, and environmental interactions.

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