On hyperfinite factors of type III\(_0\) and Krieger's factors

DOI10.1016/0022-1236(75)90019-1zbMath0296.46067OpenAlexW1985997313MaRDI QIDQ1213623

Alain Connes

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-1236(75)90019-1

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)

Related Items (21)

On C$^*$-extreme points ⋮ Structure and classification of factors ⋮ Trajectory theory ⋮ Existentially closed \(\mathrm{W}^*\)-probability spaces ⋮ Actions of groups and quantum groups on amenable factors ⋮ Approximately transitive flows and ITPFI factors ⋮ Automorphism of von Neumann algebras and approximatively finite type III, factors with an almost-periodic weight ⋮ Strong Convergence of Martingales in von Neumann Algebras ⋮ Isomorphism of approximatively finite type \(III_ 1\) factors with an almost-periodic weight ⋮ The slice map problem and approximation properties ⋮ Groupe modulaire d'une espérance conditionnelle dans une algèbre de von Neumann ⋮ Non-commutative Poisson boundaries and compact quantum group actions ⋮ Universally measure-preserving homeomorphisms of Cantor minimal systems ⋮ Amenable Actions of Groups ⋮ Full groups of Cantor minimal systems ⋮ Martingale convergence in von Neumann algebras ⋮ Classification of hyperfinite factors up to completely bounded isomorphism of their preduals ⋮ Non-ITPFI diffeomorphisms ⋮ Full groups of one-sided topological Markov shifts ⋮ Martingale-type convergence of modular automorphism groups on von Neumann algebras ⋮ Amenable actions of discrete groups

Cites Work

• Unnamed Item
• Almost periodic states and factors of type III\(_1\)
• On ergodic flows and the isomorphism of factors
• Contributions to ergodic theory and probability
• On a class of hyperfinite factors that arise from null-recurrent Markov chains
• Conditional expectations in von Neumann algebras
• Une classification des facteurs de type ${\rm III}$

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