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A REMARK ON THE TRACIAL ROKHLIN PROPERTY
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 97 / Issue 3 / June 2018
- Published online by Cambridge University Press:
- 07 March 2018, pp. 492-498
- Print publication:
- June 2018
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To explore the difficulties of classifying actions with the tracial Rokhlin property using K-theoretic data, we construct two
$\mathbb{Z}_{2}$ actions 
$\unicode[STIX]{x1D6FC}_{1},\unicode[STIX]{x1D6FC}_{2}$ on a simple unital AF algebra 
$A$ such that 
$\unicode[STIX]{x1D6FC}_{1}$ has the tracial Rokhlin property and 
$\unicode[STIX]{x1D6FC}_{2}$ does not, while 
$(\unicode[STIX]{x1D6FC}_{1})_{\ast }=(\unicode[STIX]{x1D6FC}_{2})_{\ast }$, where 
$(\unicode[STIX]{x1D6FC}_{i})_{\ast }$ is the induced map by 
$\unicode[STIX]{x1D6FC}_{i}$ acting on 
$K_{0}(A)$ for 
$i=1,2$.
THE CLASSIFICATION PROBLEM FOR AUTOMORPHISMS OF C*-ALGEBRAS
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- Journal:
- Bulletin of Symbolic Logic / Volume 21 / Issue 4 / December 2015
- Published online by Cambridge University Press:
- 15 January 2016, pp. 402-424
- Print publication:
- December 2015
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Amalgamated free products of C*-bundles
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 52 / Issue 1 / February 2009
- Published online by Cambridge University Press:
- 02 February 2009, pp. 23-36
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