Classification of AF Flows
Canadian mathematical bulletin, Tome 46 (2003) no. 2, pp. 164-177
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An $\text{AF}$ flow is a one-parameter automorphism group of an $\text{AF}$ ${{C}^{*}}$ -algebra $A$ such that there exists an increasing sequence of invariant finite dimensional sub- ${{C}^{*}}$ -algebras whose union is dense in $A$ . In this paper, a classification of ${{C}^{*}}$ -dynamical systems of this form up to equivariant isomorphism is presented. Two pictures of the actions are given, one in terms of a modified Bratteli diagram/pathspace construction, and one in terms of a modified ${{K}_{0}}$ functor.
Dean, Andrew J. Classification of AF Flows. Canadian mathematical bulletin, Tome 46 (2003) no. 2, pp. 164-177. doi: 10.4153/CMB-2003-018-0
@article{10_4153_CMB_2003_018_0,
author = {Dean, Andrew J.},
title = {Classification of {AF} {Flows}},
journal = {Canadian mathematical bulletin},
pages = {164--177},
year = {2003},
volume = {46},
number = {2},
doi = {10.4153/CMB-2003-018-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-018-0/}
}
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