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.
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
@article{10_4153_CMB_2011_050_6,
author = {Dean, Andrew J.},
title = {Classification of {Inductive} {Limits} of {Outer} {Actions} of {R} on {Approximate} {Circle} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {73--80},
year = {2012},
volume = {55},
number = {1},
doi = {10.4153/CMB-2011-050-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-050-6/}
}
TY - JOUR AU - Dean, Andrew J. TI - Classification of Inductive Limits of Outer Actions of R on Approximate Circle Algebras JO - Canadian mathematical bulletin PY - 2012 SP - 73 EP - 80 VL - 55 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-050-6/ DO - 10.4153/CMB-2011-050-6 ID - 10_4153_CMB_2011_050_6 ER -
%0 Journal Article %A Dean, Andrew J. %T Classification of Inductive Limits of Outer Actions of R on Approximate Circle Algebras %J Canadian mathematical bulletin %D 2012 %P 73-80 %V 55 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-050-6/ %R 10.4153/CMB-2011-050-6 %F 10_4153_CMB_2011_050_6
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