Compact Lie group action with the continuous Rokhlin property

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• 作者：Yuki Arano ^{arano@ms.u-tokyo.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Yosuke Kubota ; ^{ykubota@ms.u-tokyo.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 46L55 ; secondary ; 19K35 ; 46L35 ; 46L65
• 刊名：Journal of Functional Analysis
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：272
• 期：2
• 页码：522-545
• 全文大小：494 K

文摘

In this paper, we study the continuous Rokhlin property of C^⁎${\mathrm{C}}^{⁎}$-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.