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Bibliographic Metadata

  • Title
    On discrete twisted C*-dynamical systems, Hilbert C*-modules and regularity
  • Author
    Bédos, Erik ; Conti, Roberto
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 183-208
  • Published
    2012
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-88399587577 
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Abstract
  • We first give an overview of the basic theory for discrete unital twisted C*-dynamical systems and their covariant representations on Hilbert C*-modules. After introducing the notion of equivariant representations of such systems and their product with covariant representations, we prove a kind of Fell absorption principle saying that the product of an induced regular equivariant representation with a covariant faithful representation is weakly equivalent to an induced regular covariant representation. This principle is the key to our main result, namely that a certain property, formally weaker than Exel’s approximation property, ensures that the system is regular, i.e., the associated full and reduced C*-crossed products are canonically isomorphic.