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 mmlsi1" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022123616303056&_mathId=si1.gif&_user=111111111&_pii=S0022123616303056&_rdoc=1&_issn=00221236&md5=9a526062fd6c97ab94b6f6ef7ba24a13" title="Click to view the MathML source">C^⁎mathContainer hidden">mathCode"><math altimg="si1.gif" overflow="scroll"><msup><mrow><mi mathvariant="normal">Cmi>mrow><mrow><mo>⁎mo>mrow>msup>math>-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 m>Gm>-algebras when the m>Gm> is a compact Lie group with the Hodgkin condition.