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 languageAmerican English
Pages (from-to)765-785
Number of pages21
JournalJournal of Functional Analysis
Issue number5
StatePublished - 1 Sep 2013


  • C-algebras
  • Rokhlin property

All Science Journal Classification (ASJC) codes

  • Analysis


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