Actions of discrete amenable groups on injective factors of type \(III_{\lambda}\), \(\lambda\) \(\neq 1\)
From MaRDI portal
Publication:583564
DOI10.2140/pjm.1989.137.405zbMath0692.46057OpenAlexW1517992846WikidataQ114045265 ScholiaQ114045265MaRDI QIDQ583564
Colin E. Sutherland, Masamichi Takesaki
Publication date: 1989
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1989.137.405
amenable groupmodular invariantmodular automorphism groupcharacteristic invariantcocycle conjugategroup of automorphisms of the von Neumann algebrainjective factors of type \(III_{\lambda }\)
Related Items (26)
Mathematical foundations of classical embeddings of quantum mechanical state spaces ⋮ Crossed products by groupoid actions and their smooth flows of weights ⋮ Rohlin flows on von Neumann algebras ⋮ Classification of actions of discrete Kac algebras on injective factors ⋮ Approximate unitary equivalence of finite index endomorphisms of AFD factors ⋮ Characteristic invatiant of tensor product actions and actions on crossed products ⋮ Group actions on C\(^*\)-algebra, 3-cocycles and quantum field theory ⋮ Classification of minimal actions of a compact Kac algebra with amenable dual ⋮ Equivariant Kirchberg-Phillips-type absorption for amenable group actions ⋮ Actions of groups and quantum groups on amenable factors ⋮ Centrally free actions of amenable \(\mathrm{C}^*\)-tensor categories on von Neumann algebras ⋮ Strongly self-absorbing 𝐶*-dynamical systems ⋮ Equivariant \({\mathcal{Z}} \)-stability for single automorphisms on simple \(C^*\)-algebras with tractable trace simplices ⋮ Rokhlin-type properties of group actions on operator algebras ⋮ Classification of regular subalgebras of injective type III factors ⋮ Flows of weights of crossed products of type III factors by discrete groups ⋮ Compact Abelian group actions on injective factors ⋮ CLASSIFICATION OF APPROXIMATELY INNER ACTIONS OF DISCRETE AMENABLE GROUPS ON STRONGLY AMENABLE SUBFACTORS ⋮ A remark on the minimal index of subgfactors ⋮ The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions ⋮ The non-commutative flow of weights on a von Neumann algebra ⋮ Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III ⋮ A classification of flows on AFD factors with faithful Connes–Takesaki modules ⋮ Pointwise inner automorphisms of von Neumann algebras. With an appendix by Colin Sutherland ⋮ Unnamed Item ⋮ Centrally trivial automorphisms and an analogue of Connes' \(\chi(M)\) for subfactors
This page was built for publication: Actions of discrete amenable groups on injective factors of type \(III_{\lambda}\), \(\lambda\) \(\neq 1\)
