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Simple skew category algebras associated with minimal partially defined dynamical systems
Högskolan Väst, Institutionen för ingenjörsvetenskap, Avd för elektro, lantmäteri och naturvetenskap.ORCID-id: 0000-0001-6594-7041
University of Copenhagen, Department of Mathematical Sciences.
2013 (engelsk)Inngår i: Discrete and Continuous Dynamical Systems, ISSN 1078-0947, E-ISSN 1553-5231, Vol. 33, nr 9, s. 4157-4171Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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.

sted, utgiver, år, opplag, sider
2013. Vol. 33, nr 9, s. 4157-4171
Emneord [en]
Category dynamical systems, Minimality, Partially defined dynamical systems, Simplicity, Skew category algebras
HSV kategori
Forskningsprogram
TEKNIK, Matematik
Identifikatorer
URN: urn:nbn:se:hv:diva-5311DOI: 10.3934/dcds.2013.33.4157ISI: 000316725400015Scopus ID: 2-s2.0-84876017758OAI: oai:DiVA.org:hv-5311DiVA, id: diva2:617624
Tilgjengelig fra: 2013-04-24 Laget: 2013-04-24 Sist oppdatert: 2019-06-03bibliografisk kontrollert

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