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Compact Lie group action with the continuous Rokhlin property

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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… Click to show full 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 of Kirchberg G -algebras when the G is a compact Lie group with the Hodgkin condition.

Keywords: lie group; rokhlin property; group; compact lie; continuous rokhlin

Journal Title: Journal of Functional Analysis
Year Published: 2017

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