| 书目名称 | L2-Invariants: Theory and Applications to Geometry and K-Theory |
| 编辑 | Wolfgang Lück |
| 视频video | |
| 概述 | A comprehensive introduction to the field of L2-Invariants.Presents the most recent results and developments.Chapters are kept as independent of one other as possible.Each chapter includes exercises; |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
| 图书封面 |  |
| 描述 | In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new .L.2-invariants contain very interesting and novel information and can be applied to problems arising in topology, .K.-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make .L.2-invariants very powerful and exciting. The book presents a comprehensive introduction to this area of research, as well as its most recent results and developments. It is written in a way which enables the reader to pick out a favourite topic and to find the result she or he is interested in quickly and without being forced to go through other material. |
| 出版日期 | Book 2002 |
| 关键词 | Algebraic K-theory; Algebraic topology; Area; K-Theory; L2-Invariants; Volume; topology |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-04687-6 |
| isbn_softcover | 978-3-642-07810-1 |
| isbn_ebook | 978-3-662-04687-6Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 16:19:00
