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L^2-Invariants from the Algebraic Point of View

Wolfgang Lueck
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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.

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Wolfgang Lueck. 2003-10-31. L^2-Invariants from the Algebraic Point of View. https://arxiv.org/abs/math/0310489

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