Fourier theory and -algebras

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• 作者：Erik Bé ; dos^a ; ^{bedos@math.uio.no" class="auth_mail" title="E-mail the corresponding author} ; Roberto Conti^b ; ^{roberto.conti@sbai.uniroma1.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：22D10 ; 22D25 ; 46L55 ; 43A07 ; 43A65
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：105
• 期：Complete
• 页码：2-24
• 全文大小：531 K

文摘

We discuss a number of results concerning the Fourier series of elements in reduced twisted group C^∗$C^{\ast }$-algebras of discrete groups, and, more generally, in reduced crossed products associated to twisted actions of discrete groups on unital C^∗$C^{\ast }$-algebras. A major part of the article gives a review of our previous work on this topic, but some new results are also included.