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  • Title
    Skew products of finitely aligned left cancellative small categories and Cuntz-Krieger algebras
  • Author
    Bédos, Erik ; Kaliszewski, S. ; Quigg, John
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 59-99
  • Published
    2021
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-59019533117 
  • DOI
    10.17879/59019527597 
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  •  The document is publicly available on the WWW
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Abstract
  • Given a group cocycle on a finitely aligned left cancellative small category (LCSC), we investigate the associated skew product category and its Cuntz–Krieger algebra, which we describe as the crossed product of the Cuntz–Krieger algebra of the original category by an induced coaction of the group. We use our results to study Cuntz–Krieger algebras arising from free actions of groups on finitely aligned LCSCs, and to construct coactions of groups on Exel–Pardo algebras. Finally, we discuss the universal group of a small category and connectedness of skew product categories.
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