Mathematical Society of Japan Memoirs

III – Analysis and Geometry on Groups

Andrzej Zuk

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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

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

First available in Project Euclid: 23 May 2016

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Copyright © 2016, The Mathematical Society of Japan


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.

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