L2-Invariants: Theory and Applications to Geometry and K-Theory (e-bog) af Luck, Wolfgang
Luck, Wolfgang (forfatter)

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

1167,65 DKK (inkl. moms 1459,56 DKK)
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...
E-bog 1167,65 DKK
Forfattere Luck, Wolfgang (forfatter)
Forlag Springer
Udgivet 9 marts 2013
Genrer PBM
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783662046876
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.