Actions of groups and quantum groups on amenable factors
From MaRDI portal
Publication:4568287
DOI10.1090/suga/420zbMath1398.46049OpenAlexW2596849774MaRDI QIDQ4568287
Reiji Tomatsu, Toshihiko Masuda
Publication date: 18 June 2018
Published in: Sugaku Expositions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/suga/420
Noncommutative dynamical systems (46L55) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Automorphisms of selfadjoint operator algebras (46L40)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Locally compact separable abelian group actions on factors with the Rokhlin property
- Actions of discrete amenable groups on injective factors of type \(III_{\lambda}\), \(\lambda\) \(\neq 1\)
- Trace scaling automorphisms of certain stable AF algebras
- Non-commutative Poisson boundaries and compact quantum group actions
- Duality for crossed products and the structure of von Neumann algebras of type III
- Some remarks on actions of compact matrix quantum groups on \(C^*\)- algebras
- Poisson boundary of the dual of \(\text{SU}_q(n)\).
- Amenable discrete quantum groups
- Approximate innerness and central triviality of endomorphisms
- Actions of compact Abelian groups on semifinite injective factors
- Action of discrete amenable groups on von Neumann algebras
- Compact matrix pseudogroups
- Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
- Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- The characteristic square of a factor and the cocycle conjugacy of discrete group actions on factors
- Representations of the quantum group \(SU_ q(2)\) and the little q-Jacobi polynomials
- Compact Abelian group actions on injective factors
- The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions
- On hyperfinite factors of type III\(_0\) and Krieger's factors
- Almost periodic states and factors of type III\(_1\)
- On ergodic flows and the isomorphism of factors
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- The flow of weights on factors of type III
- A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
- \(C^*\)-algebras and \(W^*\)-algebras.
- A minimal action of the compact quantum group \(SU_q(n)\) on a full factor
- Harmonic function spaces of probability measures on fusion algebras
- Actions of discrete amenable groups and groupoids on von Neumann algebras
- Index for subfactors
- Theory of operator algebras. III
- On unitary representation theories of compact quantum groups
- Amenable tensor categories and their realizations as AFD bimodules
- Classification of minimal actions of a compact Kac algebra with amenable dual on injective factors of type III
- A characterization of right coideals of quotient type and its application to classification of Poisson boundaries
- Compact quantum ergodic systems
- Representations of uniformly hyperfinite algebras and their associated von Neumann rings
- Point realizations of transformation groups
- Equivalence of normal states on von Neumann algebras and the flow of weights
- Classification of minimal actions of a compact Kac algebra with amenable dual
- A classification of flows on AFD factors with faithful Connes–Takesaki modules
- Unified approach to the classification of actions of discrete amenable groups on injective factors
- Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
- Property T for von Neumann Algebras
- A Galois correspondence for compact quantum group actions
- Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor
- Outer conjugacy classes of automorphisms of factors
- A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS
- Kac algebras arising from composition of subfactors: general theory and classification
- One-Parameter Automorphism Groups of the Injective II$_1$ Factor Arising from the Irrational Rotation C^*-Algebra
- One-Parameter Automorphism Groups of the Injective Factor of Type II1 With Connes Spectrum Zero
- Centrally ergodic one-parameter automorphism groups on semifinite injective von Neumann algebras.
- Canonical extension of endomorphisms of type III factors
- Rohlin Flows on Amalgamated Free Product Factors
- Une classification des facteurs de type ${\rm III}$
- Rohlin flows on von Neumann algebras
- Classification of actions of discrete Kac algebras on injective factors
- A classification of factors. II
- Central Sequences and the Hyperfinite Factor
- A classification of factors
- Locally compact quantum groups
- Duality for crossed products of von Neumann algebras
- A Rohlin property for one-parameter automorphism groups of the hyperfinite II\(_1\) factor
- The non-commutative flow of weights on a von Neumann algebra
This page was built for publication: Actions of groups and quantum groups on amenable factors