Rokhlin actions and self-absorbing C*-algebras

Ilan Hirshberg, Wilhelm Winter

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

Let A{script} be a unital separable C*-algebra and D{script} a K1-injective strongly selfabsorbing C*-algebra. We show that if A{script} is D{script}-absorbing, then the crossed product of A{script} by a compact second countable group or by Z{double-struck} or by R{double-struck} is D{script}-absorbing as well, assuming the action satisfies a Rokhlin property. In the case of a compact Rokhlin action we prove a similar statement about approximate divisibility.

Original languageEnglish
Pages (from-to)125-143
Number of pages19
JournalPacific Journal of Mathematics
Volume233
Issue number1
DOIs
StatePublished - 1 Nov 2007

Keywords

  • Approximately inner half-flip
  • Crossed products
  • Rokhlin property
  • Self-absorbing

ASJC Scopus subject areas

  • Mathematics (all)

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