Ergodic Theoretic Methods in Group Homology

A Minicourse on L2-Betti Numbers in Group Theory

AvClara Löh

Häftad, Engelska, 2020

Del i serien SpringerBriefs in Mathematics

703 kr

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Beskrivning

This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers.Group homology integrates group actions into homological structure.

Produktinformation

Utgivningsdatum:2020-03-15
Mått:155 x 235 x 12 mm
Vikt:206 g
Format:Häftad
Språk:Engelska
Serie:SpringerBriefs in Mathematics
Antal sidor:114
Förlag:Springer Nature Switzerland AG
ISBN:9783030442194

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Mer om författaren

Clara Löh is Professor of Mathematics at the University of Regensburg, Germany. Her research focuses on simplicial volume and the interaction between geometric topology, geometric group theory, and measured group theory. This includes cohomological, geometric, and combinatorial methods.

Recensioner i media

“This is an attractive brisk introduction to the field, and will be a useful entry point to what is now a large and active field.” (Thomas B. Ward, zbMATH 1444.37001, 2020)

Innehållsförteckning

0 Introduction.- 1 The von Neumann dimension.- 2 L2-Betti numbers.- 3 The residually finite view: Approximation.- 4 The dynamical view: Measured group theory.- 5 Invariant random subgroups.- 6 Simplicial volume.- A Quick reference.- Bibliography.- Symbols.- Index.