Entropy of groups and subfactors

DOI10.1016/0022-1236(92)90141-5zbMath0829.46050OpenAlexW2002892764MaRDI QIDQ1185751

Dietmar Bisch

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90141-5

zbMATH Keywords

entropy of a finitely generated groupGrigorchuk-Cohen cogrowthKesten's invariant

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Subfactors and their classification (46L37) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (12)

An inclusion of type III factors with index 4 arising from an automorphism ⋮ Classification of amenable subfactors of type II ⋮ COMMUTING SQUARE SUBFACTORS AND CENTRAL SEQUENCES ⋮ QUANTUM MECHANICS IN AFC*-SYSTEMS ⋮ Composition of subfactors : new examples of infinite depth subfactors ⋮ Entropy of Random Walks on Groups and the Macaev Norm ⋮ Non-commutative Poisson boundaries and compact quantum group actions ⋮ Automorphisms of the bipartite graph planar algebra ⋮ A remark about supramenability and the Macaev norm ⋮ AMENABILITY AND STRONG AMENABILITY FOR FUSION ALGEBRAS WITH APPLICATIONS TO SUBFACTOR THEORY ⋮ Free composition of paragroups ⋮ A NOTE ON COMMUTING SQUARES ARISING FROM AUTOMORPHISMS ON SUBFACTORS

Cites Work

• Cogrowth of groups and simple random walks
• Random walks on discrete groups: Boundary and entropy
• Cogrowth and amenability of discrete groups
• Finite dimensional approximation of pairs of algebras and obstructions for the index
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• Classification of subfactors: The reduction to commuting squares
• Index for subfactors
• Invariant chains on a free group with a finite number of generators
• Symmetric Random Walks on Groups
• Iterating the Basic Construction
• Entropy and index for subfactors
• [https://portal.mardi4nfdi.de/wiki/Publication:4139440 Marche al�atoire sur le groupe libre et fronti�re de Martin]
• A Short Proof of the Grigorchuk-Cohen Cogrowth Theorem
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
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