Crossed products by actions of finite groups with the Rokhlin property

DOI10.1142/S0129167X15500421zbMath1406.46055arXiv1401.6852OpenAlexW2963536724MaRDI QIDQ5264572

Luis Santiago

Publication date: 27 July 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6852

zbMATH Keywords

group actionsRokhlin property\({C}^*\)-algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (15)

Strongly outer actions of amenable groups on \(\mathcal{Z}\)-stable nuclear \(C^\ast\)-algebras ⋮ Some results on inner quasidiagonal \(C\)*-algebras ⋮ Non-unital ASH algebras arising as crossed products of graph algebras ⋮ Rokhlin-type properties of group actions on operator algebras ⋮ Sequentially split ∗-homomorphisms between C*-algebras ⋮ The Rokhlin property for inclusions of \(C^\ast\)-algebras ⋮ Rokhlin dimension: absorption of model actions ⋮ Rokhlin dimension: duality, tracial properties, and crossed products ⋮ The weak tracial Rokhlin property for finite group actions on simple $C^*$-algebras ⋮ The spatial Rokhlin property for actions of compact quantum groups ⋮ Compact group actions with the Rokhlin property ⋮ Equivariant \(\ast\)-homomorphisms, Rokhlin constraints and equivariant UHF-absorption ⋮ Rokhlin dimension for actions of residually finite groups ⋮ Rokhlin actions on inner quasidiagonal $C^\ast $-algebras ⋮ Rokhlin actions of finite groups on UHF-absorbing $\mathrm {C}^*$-algebras

Cites Work

• Strongly self-absorbing \(C^{\ast}\)-algebras are \(\mathcal{Z}\)-stable
• Crossed products by finite group actions with the Rokhlin property
• Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
• Finite group actions on \(C^*\)-algebras with the Rohlin property. I
• The nuclear dimension of \(C^{*}\)-algebras
• Classification of \(C^{*}\)-homomorphisms from \(C_{0}(0,1\) to a \(C^{*}\)-algebra]
• \(C^*\)-algebras of real rank zero
• Automorphisms determined by multipliers on ideals of a \(C^*\)-algebra
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• On the fixed point algebra of a UHF algebra under a periodic automorphism of product type
• \({\mathcal{C}}_{0}(X)\)-algebras, stability and strongly self-absorbing \({\mathcal{C}}^{*}\)-algebras
• An algebraic approach to the radius of comparison
• The tracial Rokhlin property for actions of finite groups on C*-algebras
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• Strongly self-absorbing $C^{*}$-algebras
• The Cuntz semigroup as an invariant for C*-algebras
• Non-simple purely infinite C*-algebras

This page was built for publication: Crossed products by actions of finite groups with the Rokhlin property