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L2-Invariants: Theory and Applications to Geometry and K-Theory
Paperback
Series: Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /, Book 44
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ISBN10: 3642078109
ISBN13: 9783642078101
Publisher: Springer Nature
Published: Nov 16 2010
Pages: 595
Weight: 1.86
Height: 1.24 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9783642078101
Publisher: Springer Nature
Published: Nov 16 2010
Pages: 595
Weight: 1.86
Height: 1.24 Width: 6.14 Depth: 9.21
Language: English
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.
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