Fuglede-Kadison determinants for operators in the von Neumann algebra of an equivalence relation

DOI10.1090/S0002-9939-2013-11757-0zbMath1282.47061arXiv1204.6293MaRDI QIDQ2862180

Catalin Georgescu, Gabriel Picioroaga

Publication date: 14 November 2013

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

Full work available at URL: https://arxiv.org/abs/1204.6293

zbMATH Keywords

von Neumann algebraequivalence relationFuglede-Kadison determiant

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Commutators, derivations, elementary operators, etc. (47B47) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (1)

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Cites Work

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• Entropy and the variational principle for actions of sofic groups
• Invariant subspaces for operators in a general \(\text{II}_{1}\)-factor
• Cost of equivalence relations and groups
• Determinant theory in finite factors
• Entropy for expansive algebraic actions of residually finite groups
• Determinants on von Neumann algebras, Mahler measures and Ljapunov exponents
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Fuglede–Kadison determinants and entropy for actions of discrete amenable groups

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