Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Skew category algebras associated with partially defined dynamical systems
University West, Department of Engineering Science, Division of Natural Sciences and Electrical and Surveying Engineering.ORCID iD: 0000-0001-6594-7041
Köpenhamns Universitet.
2012 (English)In: International Journal of Mathematics, ISSN 0129-167X, Vol. 23, no 4, 16- p.Article in journal (Refereed) Published
Abstract [en]

We introduce partially defined dynamical systems defined on a topological space. To each such system we associate a functor s from a category G to Top^op and show that it defines what we call a skew category algebra AxG. We study the connection between topological freeness of s and, on the one hand, ideal properties of AxG and, on the other hand, maximal commutativity of A in AxG. In particular, we show that if G is a groupoid and for each e in ob(G) the group of all morphisms from e to e is countable and the topological space s(e) is Tychonoff and Baire, then the following assertions are equivalent: (i) s is topologically free; (ii) A has the ideal intersection property, that is if I is a nonzero ideal of AxG, then I \cap A is not equal to zero; (iii) the ring A is a maximal abelian complex subalgebra of AxG. Thereby, we generalize a result by Svensson, Silvestrov and de Jeu from the additive group of integers to a large class of groupoids.

Place, publisher, year, edition, pages
Singapore, 2012. Vol. 23, no 4, 16- p.
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:hv:diva-3582DOI: 10.1142/S0129167X12500401ISI: 000301503200009Scopus ID: 2-s2.0-84860197662OAI: oai:DiVA.org:hv-3582DiVA: diva2:439445
Available from: 2012-12-27 Created: 2011-09-07 Last updated: 2017-12-08Bibliographically approved

Open Access in DiVA

fulltext(216 kB)98 downloads
File information
File name FULLTEXT01.pdfFile size 216 kBChecksum SHA-512
4b61961a0af220d137dcb41b7f188be258b3b0470193c0ebdb9466b8e9c9e81a1f38325d7e52863468427ce66370e215e0375cb75bcd86bf68f48f3e0563ae56
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Lundström, Patrik
By organisation
Division of Natural Sciences and Electrical and Surveying Engineering
In the same journal
International Journal of Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 98 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 108 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf