Naturality and induced representations

Siegfried Echterhoff, Steven Kaliszewski, John Quigg, Iain Raeburn

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

We show that induction of covariant representations for C*-dynamical systems is natural in the sense that it gives a natural transformation between certain crossed- product functors. This involves setting up suitable categories of C*-algebras and dynamical systems, and extending the usual constructions of crossed products to define the appropriate functors. From this point of view, Green's Imprimitivity Theorem identifies the functors for which induction is a natural equivalence. Various special cases of these results have previously been obtained on an ad hoc basis.

Original languageEnglish (US)
Pages (from-to)415-438
Number of pages24
JournalBulletin of the Australian Mathematical Society
Volume61
Issue number3
DOIs
StatePublished - Jun 2000

ASJC Scopus subject areas

  • Mathematics(all)

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