An \(l^p\)-version of von Neumann dimension for Banach space representations of sofic groups

DOI10.1016/J.JFA.2013.09.014zbMath1300.43002arXiv1110.5390OpenAlexW2067762382MaRDI QIDQ2444426

Ben Hayes

Publication date: 9 April 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5390

zbMATH Keywords

Murray-von Neumann dimensionsofic group

Mathematics Subject Classification ID

Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (6)

Metric mean dimension for algebraic actions of Sofic groups ⋮ Sofic entropy of Gaussian actions ⋮ Locally compact sofic groups ⋮ POLISH MODELS AND SOFIC ENTROPY ⋮ An obstruction to \(\ell^p\)-dimension ⋮ An \(l^p\)-version of von Neumann dimension for Banach space representations of sofic groups. II

Cites Work

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• Topological invariants of dynamical systems and spaces of holomorphic maps. I.
• A dynamical approach to von Neumann dimension
• Measure conjugacy invariants for actions of countable sofic groups
• On sofic groups
• Hyperlinear and Sofic Groups: A Brief Guide
• Theory of operator algebras I.

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