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
Realizations of free actions via their fixed point algebras
Iteratec GmbH, Germany.
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.ORCID iD: 0000-0002-2839-2590
2025 (English)In: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 68, no 2, p. 568-581Article in journal (Refereed) Published
Abstract [en]

Let G be a compact group, let B be a unital C*-algebra, and let (A, G, a) be a free C*-dynamical system, in the sense of Ellwood, with fixed point algebra B. We prove that (A, G, a) can be realized as the G-continuous part of the invariants of an equivariant coaction of G on a corner of B ⊕ K(H) for a certain Hilbert space H that arises from the freeness of the action.This extends a result byWassermann for free and ergodic C*-dynamical systems. As an application, we show that any faithful *-representation of B on a Hilbert space HB gives rise to a faithful covariant representation of (A, G, a) on some truncation of HB ⊕ H.

Place, publisher, year, edition, pages
Cambridge University Press, 2025. Vol. 68, no 2, p. 568-581
Keywords [en]
Free action, coaction, fixed point algebra
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-27424DOI: 10.4153/S0008439524000808ISI: 001397837700001Scopus ID: 2-s2.0-105003917722OAI: oai:DiVA.org:bth-27424DiVA, id: diva2:1933971
Available from: 2025-02-03 Created: 2025-02-03 Last updated: 2025-09-30Bibliographically approved

Open Access in DiVA

fulltext(330 kB)80 downloads
File information
File name FULLTEXT01.pdfFile size 330 kBChecksum SHA-512
bd5c747216eea28add57e42ff562449653c87b70cfed954069fba8347945142bc13c0e94b102a9767338ce4690612e9b7390cf69cbfd4d4fa1e93f6b69e5ba36
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Authority records

Wagner, Stefan

Search in DiVA

By author/editor
Wagner, Stefan
By organisation
Department of Mathematics and Natural Sciences
In the same journal
Canadian mathematical bulletin
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 82 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: 1465 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