Properness conditions for actions and coactions

S. Kaliszewski, Magnus B. Landstad, John Quigg

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations


Three properness conditions for actions of locally compact groups on C -algebras are studied, as well as their dual analogues for coactions. To motivate the properness conditions for actions, the commutative cases (ac-tions on spaces) are surveyed; here the conditions are known: proper, locally proper, and pointwise proper, although the latter property has not been so well studied in the literature. The basic theory of these properness conditions is summarized, with somewhat more attention paid to pointwise properness. C -characterizations of the properties are proved, and applications to C -dynamical systems are examined. This paper is partially expository, but some of the results are believed to be new.

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Number of pages29
StatePublished - 2016
Externally publishedYes

Publication series

NameContemporary Mathematics
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627


  • Action
  • Coaction
  • Crossed product
  • Exact sequence
  • Fourier-Stieltjes algebra
  • Morita compatible
  • Proper action

ASJC Scopus subject areas

  • General Mathematics


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