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Compact Lie group actions with continuous Rokhlin property

Published 20 Dec 2015 in math.OA and math.KT | (1512.06333v1)

Abstract: In this paper, we study continuous Rokhlin property of $\mathrm{C}*$-dynamical systems using techniques of equivariant $\mathrm{KK}$-theory and quantum group theory. In particular, we determine the $\mathrm{KK}$-equivalence class and give a classification of Kirchberg $G$-algebras when the $G$ is a compact Lie group with Hodgkin condition.

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