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| The Tracial Rokhlin Property for Automorphisms on Non-simple C*-Algebras |
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Citation： |
Jiajie HUA.The Tracial Rokhlin Property for Automorphisms on Non-simple C*-Algebras[J].Chinese Annals of Mathematics B,2010,31(2):191~200 |
| Page view： 1905
Net amount： 1789 |
Authors： |
Jiajie HUA; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10771069, 10671068) and
the Shanghai Priority Academic Discipline (No. B407). |
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| Abstract： |
Let $A$ be a unital AF-algebra (simple or
non-simple) and let $\alpha$ be an automorphism of $A$. Suppose that
$\alpha$ has certain Rokhlin property and $A$ is $\alpha$-simple.
Suppose also that there is an integer $J\geq1$ such that
$\alpha^{J}_{*0}=$id$_{K_{0}(A)}$. The author proves that
$A\rtimes_{\alpha}\mathbb{Z}$ has tracial rank zero. |
Keywords： |
Rokhlin property, Tracial rank zero, AF-algebra |
Classification： |
46L35, 46L55 |
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