Tracially Z-absorbing C*-algebras

Ilan Hirshberg, Joav Orovitz

Research output: Contribution to journalArticlepeer-review


We study a tracial notion of Z-absorption for simple, unital C*-algebras. We show that if A is a C*-algebra for which this property holds then A has almost unperforated Cuntz semigroup, and if in addition A is nuclear and separable we show this property is equivalent to having A≅A≉Z. We furthermore show that this property is preserved under forming certain crossed products by actions satisfying a tracial Rokhlin type property.

Original languageEnglish
Pages (from-to)765-785
Number of pages21
JournalJournal of Functional Analysis
Issue number5
StatePublished - 1 Sep 2013
Externally publishedYes

Bibliographical note

Funding Information:
* Corresponding author. E-mail addresses: (I. Hirshberg), (J. Orovitz). 1 This research was supported in part by Israel Science Foundation grant 1471/07.


  • C-algebras
  • Rokhlin property

ASJC Scopus subject areas

  • Analysis


Dive into the research topics of 'Tracially Z-absorbing C*-algebras'. Together they form a unique fingerprint.

Cite this