Crossed product by actions of finite groups with the Rokhlin Property

2014/01/27 by Luis Santiago, Santiago, Luis · 2 citations
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #math.OA #msc:46L05 #msc:46L55

paper · pdf · doi:10.48550/arxiv.1401.6852

arxiv created 2014/01/27 · arxiv updated 2014/01/28

Abstract

We introduce and study a Rokhlin-type property for actions of finite groups on (not necessarily unital) C*-algebras. We show that the corresponding crossed product C*-algebras can be locally approximated by C*-algebras that are stably isomorphic to closed two-sided ideals of the given algebra. We then use this result to prove that several classes of C*-algebras are closed under crossed products by finite group actions with this Rokhlin property.

Cited by

• Crossed products by compact group actions with the weak tracial Rokhlin property
• The relative radius of comparison of the crossed product of a non-unital C*-algebra by a finite group

Related

• Crossed products by finite group actions with the Rokhlin property
• Crossed products by compact group actions with the Rokhlin property
• Crossed product C*-algebras by finite group actions with the tracial Rokhlin property
• Crossed product C*-algebras by finite group actions with the projection free tracial Rokhlin property
• Rokhlin dimension: duality, tracial properties, and crossed products