| 书目名称 | K-Theory for Group C*-Algebras and Semigroup C*-Algebras |
| 编辑 | Joachim Cuntz,Siegfried Echterhoff,Guoliang Yu |
| 视频video | http://file.papertrans.cn/542/541614/541614.mp4 |
| 概述 | This book introduces the reader to the necessary technical background to study C*-algebras arising from actions of groups or semigroups.The text focuses on recent examples and techniques developed in |
| 丛书名称 | Oberwolfach Seminars |
| 图书封面 |  |
| 描述 | .This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as diverse as the theory of unitary group representations, index theory, the topology of manifolds or ergodic theory of group actions..Part of the most basic structural information for such a C*-algebra is contained in its K-theory. The determination of the K-groups of C*-algebras constructed from group or semigroup actions is a particularly challenging problem. Paul Baum and Alain Connes proposed a formula for the K-theory of the reduced crossed product for a group action that would permit, in principle, its computation. By work of many hands, the formula has by now been verified for very large classes of groups and this work has led to the development of a host of new techniques. An important ingredient is Kasparov‘s bivariant K-theory..More r |
| 出版日期 | Textbook 2017 |
| 关键词 | C*-algebras; group C*-algebras; semigroup-C*-algebras; crossed products; K-theory; KK-theory; bivariant K- |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-59915-1 |
| isbn_softcover | 978-3-319-59914-4 |
| isbn_ebook | 978-3-319-59915-1Series ISSN 1661-237X Series E-ISSN 2296-5041 |
| issn_series | 1661-237X |
| copyright | Springer International Publishing AG 2017 |
|Archiver|手机版|小黑屋|
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