Simple skew category algebras associated with minimal partially defined dynamical systems
Research output: Contribution to journal › Journal article › peer-review
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 language | English |
---|---|
Journal | Discrete and Continuous Dynamical Systems. Series A |
Volume | 33 |
Issue number | 9 |
Pages (from-to) | 4157-4171 |
ISSN | 1078-0947 |
DOIs | |
Publication status | Published - 2013 |
ID: 117199944