New Directions in Locally Compact Groups: 447 (London Mathematical Society Lecture Note Series, Series Number 447) - Softcover

 
9781108413121: New Directions in Locally Compact Groups: 447 (London Mathematical Society Lecture Note Series, Series Number 447)
Softcover
ISBN 10: 1108413129 ISBN 13: 9781108413121
Publisher: Cambridge University Press, 2018

Synopsis

This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.

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About the Authors

Pierre-Emmanuel Caprace is a member of the Institute of Research in Mathematics and Physics (IRMP) at the Catholic University of Leuven, Belgium. His joint work with his co-author, Nicolas Monod, received the Berwick Prize from the London Mathematical Society in 2015.

Nicolas Monod is a professor and director of the research chair EGG at École Polytechnique Fédérale de Lausanne. He is also the Director of the Bernoulli Center (CIB). His joint work with his co-author, Pierre-Emmanuel Caprace, received the Berwick Prize from the London Mathematical Society in 2015.

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Publisher
Cambridge University Press
Publication date
2018
Language
English
ISBN 10 
1108413129
ISBN 13 
9781108413121
Binding
Paperback
Edition number
1
Number of pages
366
Editor
Caprace Pierre-Emmanuel