T-property and nonisomorphic full factors of types II and III

DOI10.1016/0022-1236(87)90123-6zbMath0614.46053OpenAlexW2043594297MaRDI QIDQ1820367

N. I. Nessonov, Valentin Ya. Golodets

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90123-6

zbMATH Keywords

Connes invariantcountable fundamental groupcountable subgroupT-propertyactions of T-groups on von Neumann hyperfinite algebrascontinuum of nonequivalent actionsexistence of nonisomorphic full factorsfactors of type II

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Related Items

Fundamental groups of some ergodic equivalence relations of type II\(_{\infty}\), Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups, Model theory of operator algebras III: elementary equivalence and II₁factors, Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I, Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. II, Construction of type II1 factors with prescribed countable fundamental group, Fundamental groups for ergodic actions and actions with unit fundamental groups, Some rigidity results for non-commutative Bernoulli shifts

Cites Work

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• The standard form of von Neumann algebras.