Simple skew category algebras associated with minimal partially defined dynamical systems

Research output: Contribution to journalJournal articlepeer-review

  • Patrik Nystedt
  • Per Johan Öinert
In this article, we continue our study of category dynamical systems, that is functors s from a category G to Topop, and their corresponding skew category algebras. Suppose that the spaces s(e), for e∈ob(G), are compact Hausdorff. We show that if (i) the skew category algebra is simple, then (ii) G is inverse connected, (iii) s is minimal and (iv) s is faithful. We also show that if G is a locally abelian groupoid, then (i) is equivalent to (ii), (iii) and (iv). Thereby, we generalize results by Öinert for skew group algebras to a large class of skew category algebras.
Original languageEnglish
JournalDiscrete and Continuous Dynamical Systems. Series A
Volume33
Issue number9
Pages (from-to)4157-4171
ISSN1078-0947
DOIs
Publication statusPublished - 2013

ID: 117199944