Classification of Inductive Limits of Outer Actions of R on Approximate Circle Algebras
Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 73-80

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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.
DOI : 10.4153/CMB-2011-050-6
Mots-clés : 46L57, 46L35, classification, C*-dynamical system
Dean, Andrew J. Classification of Inductive Limits of Outer Actions of R on Approximate Circle Algebras. Canadian mathematical bulletin, Tome 55 (2012) no. 1, pp. 73-80. doi: 10.4153/CMB-2011-050-6
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