Approximation properties for crossed products by actions and coactions

May M. Nilsen, Roger R. Smith

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We investigate approximation properties for C*-algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation constant is preserved for crossed products by arbitrary amenable groups, and we show why this is not always true in the non-amenable case. We also examine similar questions for other forms of the approximation property.

Original languageEnglish (US)
Pages (from-to)595-608
Number of pages14
JournalInternational Journal of Mathematics
Volume12
Issue number5
DOIs
StatePublished - Jul 2001
Externally publishedYes

Fingerprint

Coaction
Crossed Product
Approximation Property
Amenable Group
Locally Compact Group
C*-algebra
Arbitrary
Approximation
Form

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Approximation properties for crossed products by actions and coactions. / Nilsen, May M.; Smith, Roger R.

In: International Journal of Mathematics, Vol. 12, No. 5, 07.2001, p. 595-608.

Research output: Contribution to journalArticle

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