L^2-Invariants from the Algebraic Point of View

Details L^2-Invariants from the Algebraic Point of View L^2-Invariants from the Algebraic Point of View

2003-10-31

arxiv.org/abs/math/0310489v1

Mathematics

Geometric Topology

95 pages, based on lectures given at the LMS Durham Proceedings on Geometry and Cohomology in Group Theory in July 2003

Scientific paper

We give a survey on L^2-invariants such as L^2-Betti numbers and L^2-torsion
taking an algebraic point of view. We discuss their basic definitions,
properties and applications to problems arising in topology, geometry, group
theory and K-theory.

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