Simple nuclear C*-algebras not equivariantly isomorphic to their opposites

Marius Dadarlat, Ilan Hirshberg, N. Christopher Phillips

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We exhibit examples of simple separable nuclear C*-algebras, along with actions of the circle group and outer actions of the integers, which are not equivariantly isomorphic to their opposite algebras. In fact, the fixed point subalgebras are not isomorphic to their opposites. The C*-algebras we exhibit are well behaved from the perspective of structure and classification of nuclear C*-algebras: they are unital C*-algebras in the UCT class, with finite nuclear dimension. One is an AH-algebra with unique tracial state and absorbs the CAR algebra tensorially. The other is a Kirchberg algebra.

Original languageEnglish
Pages (from-to)1227-1253
Number of pages27
JournalJournal of Noncommutative Geometry
Issue number4
StatePublished - 1 Jan 2018


  • Anti-automorphism
  • C*-algebras
  • C*-dynamical systems

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Mathematical Physics
  • Geometry and Topology


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