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New Directions in Locally Compact Groups

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Description

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.

Author Biography:

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.
Release date NZ
February 8th, 2018
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Contributors
  • Edited by Nicolas Monod
  • Edited by Pierre-Emmanuel Caprace
Illustrations
Worked examples or Exercises; 3 Halftones, black and white; 13 Line drawings, black and white
Pages
366
Dimensions
152x228x20
ISBN-13
9781108413121
Product ID
27216162

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