The nuclear dimension of C^⁎-algebras associated to homeomorphisms

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• 作者：Ilan Hirshberg^a ; ^{ilan@math.bgu.ac.il" class="auth_mail" title="E-mail the corresponding author} ; Jianchao Wu^b ; ^{jianchao.wu@uni-muenster.de" class="auth_mail" title="E-mail the corresponding author}
• 关键词：C⁎C⁎-algebras ; Nuclear dimension ; C⁎C⁎-dynamics
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：2 January 2017
• 年：2017
• 卷：304
• 期：Complete
• 页码：56-89
• 全文大小：562 K

文摘

We show that if X   is a finite dimensional locally compact Hausdorff space, then the crossed product of C₀(X)$C_0(X)$ by any automorphism has finite nuclear dimension. This generalizes previous results, in which the automorphism was required to be free. As an application, we show that group C^⁎$C^{⁎}$-algebras of certain non-nilpotent groups have finite nuclear dimension.