L2-Invariants: Theory and Applications to Geometry and K-Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics)

By Hans S. Burchard and Wolfgang Lück

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.

• Format: Hardcover
• Language: English
• ISBN: 3540435662
• ISBN13: 9783540435662
• Release Date: August 2002
• Publisher: Springer
• Length: 595 Pages
• Weight: 2.29 lbs.
• Dimensions: 1.3" x 6.1" x 9.2"