| 书目名称 | Homotopy Theory of C*-Algebras | | 编辑 | Paul Arne Østvær | | 视频video | | | 概述 | First account of the homotopy theoretic viewpoint of C*-algebras encoded in the notion of a C*-space.Unifies two separate mathematical topics.Opens up for a whole host of new research problems.Include | | 丛书名称 | Frontiers in Mathematics | | 图书封面 |  | | 描述 | Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions.The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications. | | 出版日期 | Book 2010 | | 关键词 | Algebraic topology; Brown representability; Cohomology; Homotopy; K-theory; homology; homotopy theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0346-0565-6 | | isbn_softcover | 978-3-0346-0564-9 | | isbn_ebook | 978-3-0346-0565-6Series ISSN 1660-8046 Series E-ISSN 1660-8054 | | issn_series | 1660-8046 | | copyright | Springer Basel AG 2010 |
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发表于 2025-3-21 19:16:58
