L²-Invariants from the Algebraic Point of View

2003/10/31 by Wolfgang Lueck, Lueck, Wolfgang
Mathematics · #18G15 #19A99 #19B99 #200C07 #20F25 #46L99 #57S99 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematics and Applications #math.GT #msc:18G15 #msc:19A99 #msc:19B99 #msc:200C07 #msc:20F25 #msc:46L99 #msc:57S99

paper · pdf · doi:10.48550/arxiv.math/0310489

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

arxiv created 2003/10/31 · openalex publication_date 2003/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a survey on L²-invariants such as L²-Betti numbers and L²-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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