Exotic circle actions on classifiable C⁎-algebras

Ilan Hirshberg

doi:10.1016/j.jfa.2023.110296

Exotic circle actions on classifiable C^⁎-algebras

Ilan Hirshberg

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	110296
Journal	Journal of Functional Analysis
Volume	286
Issue number	5
DOIs	https://doi.org/10.1016/j.jfa.2023.110296
State	Published - 1 Mar 2024

Keywords

C-algebras
Crossed products
Elliott classification program

ASJC Scopus subject areas

Analysis

Access to Document

10.1016/j.jfa.2023.110296

Cite this

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title = "Exotic circle actions on classifiable C⁎-algebras",

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.",

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AB - 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.

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