On the fixed point algebra of a UHF algebra under a periodic automorphism of product type

DOI10.2977/prims/1195189607zbMath0367.46058OpenAlexW1997643906MaRDI QIDQ1242300

Akitaka Kishimoto

Publication date: 1977

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195189607

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05)

Related Items

Finite group actions on certain stably projectionless C*-algebras with the Rohlin property, Anomalous symmetries of classifiable C*-algebras, Symmetries of simple \(A \mathbb{T}\)-algebras, Strongly self-absorbing property for inclusions of $\mathrm {C}^*$-algebras with a finite Watatani index, Finite group actions on \(C^*\)-algebras with the Rohlin property. I, Nonproduct Type Analytic Tuhf Algebras, Rokhlin actions on inner quasidiagonal $C^\ast $-algebras, Finite group actions on \(C^{*}\)-algebras with the Rohlin property. II, Period two automorphisms of UHF C*-algebras, Sur la classification des automorphismes périodiques des C*-algèbres UHF, The fixed-point algebra of tensor-product actions of finite Abelian groups on UHF-algebras, Finite cyclic group actions with the tracial Rokhlin property, Crossed products by actions of finite groups with the Rokhlin property

Cites Work

• Compact Abelian groups of automorphisms of simple \(C^*\)-algebras
• On the invariant \(\Gamma(\alpha)\) in \(C^*\)-dynamical systems
• The even CAR-algebra
• On a Certain Class of Operator Algebras
• Une classification des facteurs de type ${\rm III}$
• Inductive Limits of Finite Dimensional C ∗ -Algebras