【预订】Equivariant \(E\)-Theory for \(C^*\)-Algebras 9780821821
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/ 2000-10-03
Product Details 基本信息 ISBN-13 书号 9780821821169 Author 作者 Erik Guentner Format 版本 平装-胶订 Pages Number 页数 86页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2000-10-03 Language 语种 英语 Book Contents 内容简介 Let \(A\) and \(B\) be \(C^*\)-algebras which are equipped with continuous actions of a second countable, locally compact group \(G\). We define a notion of equivariant asymptotic morphism, and use it to define equivariant \(E\)-theory groups \(E_G(A,B)\) which generalize the \(E\)-theory groups of Connes and Higson. We develop the basic properties of equivariant \(E\)-theory, including a composition product and six-term exact sequences in both variables, and apply our theory to the problem of calculating \(K\)-theory for group \(C^*\)-algebras. Our main theorem gives a simple criterion for the assembly map of Baum and Connes to be an isomorp
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