Exotic circle actions on classifiable C*-algebras

2023/08/13 by Hirshberg, Ilan · 2 citations
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2308.06830

Abstract

We construct an example of a simple nuclear separable unital stably finite Z-stable C*-algebra along with an action of the circle such that the crossed product is simple but not Z-stable.

Cited by

• The Rank Ratio Function and the Radius of Comparison
• The relative radius of comparison of the crossed product of a non-unital C*-algebra by a finite group

Related

• Simple nuclear C*-algebras not equivariantly isomorphic to their opposites
• Actions on classifiable C*-algebras without equivariant property (SI)
• Classifying crossed product C*-algebras
• Actions of amenable groups and crossed products of Z-absorbing C*-algebras
• A Criterion for Z-Stability with Applications to Crossed Products