L^2-Invariants from the Algebraic Point of View

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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

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