Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory

Author:   Clara Löh
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2020
ISBN:  

9783030442194


Pages:   114
Publication Date:   15 March 2020
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory


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Author:   Clara Löh
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2020
Weight:   0.454kg
ISBN:  

9783030442194


ISBN 10:   3030442195
Pages:   114
Publication Date:   15 March 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

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)


“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)


Author Information

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.

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