عنوان

L2-Invariants: Theory and Applications to Geometry and K-Theory

شابک

9783642078101

شابک

9783662046876

شماره

b399625

عنوان اصلي

L2-Invariants: Theory and Applications to Geometry and K-Theory

نام عام مواد

[Book]

نام نخستين پديدآور

by Wolfgang Lück.

محل نشرو پخش و غیره

Berlin, Heidelberg :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

2002.

عنوان فروست

Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics,

مشخصه جلد

44

شاپا ي ISSN فروست

0071-1136 ;

متن يادداشت

0. Introduction -- 1. L2-Betti Numbers -- 2. Novikov-Shubin Invariants -- 3. L2-Torsion -- 4. L2-Invariants of 3-Manifolds -- 5. L2-Invariants of Symmetric Spaces -- 6. L2-Invariants for General Spaces with Group Action -- 7. Applications to Groups -- 8. The Algebra of Affiliated Operators -- 9. Middle Algebraic K-Theory and L-Theory of von Neumann Algebras -- 10. The Atiyah Conjecture -- 11. The Singer Conjecture -- 12. The Zero-in-the-Spectrum Conjecture -- 13. The Approximation Conjecture and the Determinant Conjecture -- 14. L2-Invariants and the Simplicial Volume -- 15. Survey on Other Topics Related to L2-Invariants -- 16. Solutions of the Exercises -- References -- Notation.

بدون عنوان

0

متن يادداشت

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 L2-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 L2-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.

شماره استاندارد بين المللي کتاب و موسيقي

9783642078101

عنوان

Springer eBooks

موضوع مستند نشده

K-theory.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Topology.

مستند نام اشخاص تاييد نشده

Lück, Wolfgang.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307154800.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y