【预订】Crossed Products with Continuous Trace 9780821805633
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/ 1996-10-29
Product Details 基本信息 ISBN-13 书号 9780821805633 Author 作者 Siegfried Echterhoff Format 版本 平装-胶订 Pages Number 页数 134页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 1996-10-29 Language 语种 英语 Book Contents 内容简介 The importance of separable continuous trace \(C^*\)-algebras arises from the following facts: Firstly, their stable isomorphism classes are completely classifiable by topological data and, secondly, continuous-trace \(C^*\)-algebras form the building blocks of the more general type I \(C^*\)-algebras. This memoir presents an extensive study of strongly continuous actions of abelian locally compact groups on \(C^*\)-algebras with continuous trace. Under some natural assumptions on the underlying system \((A,G,\alpha )\), necessary and sufficient conditions are given for the crossed product \(A{\times }_{\alpha }G\) to have continuous
¥487.00
【预订】A Categorical Approach to Imprimitivity Theorems for \(C
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/ 2006-01-31
Product Details 基本信息 ISBN-13 书号 9780821838570 Author 作者 Siegfried Echterhoff Format 版本 平装-胶订 Pages Number 页数 169页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2006-01-31 Language 语种 英语 Book Contents 内容简介 Imprimitivity theorems provide a fundamental tool for studying the representation theory and structure of crossed-product \(C^*\)-algebras. In this work, we show that the Imprimitivity Theorem for induced algebras, Green’s Imprimitivity Theorem for actions of groups, and Mansfield’s Imprimitivity Theorem for coactions of groups can all be viewed as natural equivalences between various crossed-product functors among certain equivariant categories. The categories involved have \(C^*\)-algebras with actions or coactions (or both) of a fixed locally compact group \(G\) as their objects, and equivariant equivalence classes of right-Hil
¥635.00
