L^2-Invariants from the Algebraic Point of View
arXiv:math/0310489
Abstract
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.
95 pages, based on lectures given at the LMS Durham Proceedings on Geometry and Cohomology in Group Theory in July 2003