Simple skew category algebras associated with minimal partially defined dynamical systems

Patrik Nystedt, Johan Öinert

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Sammanfattning

In this article, we continue our study of category dynamical systems, that is functors s from a category G to Top^{op}, 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.
Originalspråkengelska
Sidor (från-till)4157-4171
TidskriftDiscrete and Continuous Dynamical Systems. Series A
Volym33
Nummer9
DOI
StatusPublished - 2013

Ämnesklassifikation (UKÄ)

  • Matematik

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