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On Inductive Limit Type Actions of the Euclidean Motion Group on Stable UHF Algebras

Published online by Cambridge University Press:  20 November 2018

Andrew J. Dean
Andrew J. Dean*
Affiliation:
Department of Mathematical Sciences, Lakehead University, 955 Oliver Road, Thunder Bay, ON, P7B 5E1 e-mail: andrew.dean@lakeheadu.ca
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Abstract

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An invariant is presented which classifies, up to equivariant isomorphism, ${{C}^{*}}$ -dynamical systems arising as limits from inductive systems of elementary ${{C}^{*}}$ -algebras on which the Euclidean motion group acts by way of unitary representations that decompose into finite direct sums of irreducibles.

Keywords

46L5746L35ClassificationC* -dynamical system

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 2 , 01 June 2006 , pp. 213 - 225
Copyright
Copyright © Canadian Mathematical Society 2006

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