Mathematical Society of Japan Memoirs

III – Analysis and Geometry on Groups

Andrzej Zuk

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Abstract

These notes present different aspects of analysis and geometry on infinite groups. They are centered around two notions, amenability and property (T), which play a central role both from geometric and analytic point of view. We analyze these notions with their relation to expander graphs constructions.

Chapter information

Source
Martin T. Barlow, Tibor Jordán and Andrzej Zuk,Discrete Geometric Analysis (Tokyo: The Mathematical Society of Japan, 2016), 113-157

Dates
First available in Project Euclid: 23 May 2016

Permanent link to this document
https://projecteuclid.org/euclid.msjm/1464020509

Digital Object Identifier
doi:10.2969/msjmemoirs/03401C030

Mathematical Reviews number (MathSciNet)
MR3525849

Zentralblatt MATH identifier
1357.22011

Subjects
Primary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx]
Secondary: 43A07: Means on groups, semigroups, etc.; amenable groups 05C81: Random walks on graphs 22D10: Unitary representations of locally compact groups

Rights
Copyright © 2016, The Mathematical Society of Japan

Citation

Zuk, Andrzej. III – Analysis and Geometry on Groups. Discrete Geometric Analysis, 113--157, The Mathematical Society of Japan, Tokyo, Japan, 2016. doi:10.2969/msjmemoirs/03401C030. https://projecteuclid.org/euclid.msjm/1464020509


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