A remark on fullness of some group measure space von Neumann algebras

DOI10.1112/S0010437X16007727zbMath1379.46048arXiv1602.02654MaRDI QIDQ5360253

Narutaka Ozawa

Publication date: 28 September 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02654

zbMATH Keywords

full factorsstrongly ergodic actions

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Means on groups, semigroups, etc.; amenable groups (43A07) Classification of factors (46L36)

Related Items (8)

Complete descriptions of intermediate operator algebras by intermediate extensions of dynamical systems ⋮ Asymptotic expansion in measure and strong ergodicity ⋮ Properly proximal von Neumann algebras ⋮ Stationary characters on lattices of semisimple Lie groups ⋮ CAT(0) cube complexes and inner amenability ⋮ The approximation property and exactness of locally compact groups ⋮ Fullness of crossed products of factors by discrete groups ⋮ Strongly ergodic equivalence relations: spectral gap and type III invariants

Cites Work

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• Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
• An amenable equivalence relation is generated by a single transformation
• A Kurosh-type theorem for type II1 factors

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