Compact Lie group action with the continuous Rokhlin property
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DOI: 10.1016/j.jfa.2016.10.002
Abstract: Abstract In this paper, we study the continuous Rokhlin property of C ⁎ -dynamical systems using techniques of equivariant KK-theory and quantum group theory. In particular, we determine the KK-equivalence class and give a classification… read more here.
Keywords: lie group; rokhlin property; group; compact lie ... See more keywords
A REMARK ON THE TRACIAL ROKHLIN PROPERTY
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DOI: 10.1017/s0004972717001162
Abstract: 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… read more here.
Keywords: unicode stix; rokhlin property; stix x1d6fc; tracial rokhlin ... See more keywords
The tracial Rokhlin property for actions of amenable groups on $C^*$-algebras
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DOI: 10.1216/rmj-2018-48-4-1307
Abstract: Tracial Rokhlin property was introduced by Chris Phillips to study the structure of crossed product of actions on simple C*-algebras. It was originally defined for actions of finite groups and group of integers. Matui and… read more here.
Keywords: amenable groups; actions amenable; rokhlin property; tracial rokhlin ... See more keywords