On simplicity of intermediate -algebras

Tattwamasi Amrutam, Mehrdad Kalantar

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We prove simplicity of all intermediate -algebras in the case of minimal actions of -simple groups on compact spaces. For this, we use the notion of stationary states, recently introduced by Hartman and Kalantar [Stationary -dynamical systems. Preprint, 2017, arXiv:1712.10133]. We show that the Powers' averaging property holds for the reduced crossed product for any action of a -simple group on a unital -algebra, and use it to prove a one-to-one correspondence between stationary states on and those on.

Original languageEnglish
Pages (from-to)3181-3187
Number of pages7
JournalErgodic Theory and Dynamical Systems
Issue number12
StatePublished - 1 Dec 2020
Externally publishedYes


  • 37A55
  • 46L10
  • 46L55 (Primary)
  • 46L89 (Secondary)
  • C-simplicity 2010 Mathematics Subject Classification
  • crossed product C-algebras
  • group actions
  • operator algebras
  • stationary group actions

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics


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