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Classification of Inductive Limits of Outer Actions of ℝ on Approximate Circle Algebras

Published online by Cambridge University Press:  20 November 2018

Andrew J. Dean
Andrew J. Dean*
Affiliation:
Department of Mathematical Sciences, Lakehead University, Thunder Bay, ON, P7B 5E1 e-mail: [email protected]
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Abstract

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In this paper we present a classification, up to equivariant isomorphism, of ${{C}^{*}}$-dynamical systems $(A,\,\mathbb{R},\,\alpha )$ arising as inductive limits of directed systems $\{({{A}_{n}},\,\mathbb{R},\,{{\alpha }_{n}}),\,{{\varphi }_{nm}}\}$, where each ${{A}_{n}}$ is a finite direct sum of matrix algebras over the continuous functions on the unit circle, and the ${{\alpha }_{n}}\text{s}$ are outer actions generated by rotation of the spectrum.

Keywords

46L5746L35classificationC*-dynamical system
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 1 , 01 March 2012 , pp. 73 - 80
Copyright
Copyright © Canadian Mathematical Society 2012

References

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