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Název:		New directions in locally compact groups / edited by Pierre-Emmanuel Caprace, Nicolas Monod
Autor:		Caprace, Pierre-Emmanuel
Rok vydání:
Identifikátory:		9781108332675 aba013-001814854

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Anotace:	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. Presents the most recent activity in the field, helping the reader identify the current 'hotspots' Provides a global view of the most important topics, made accessible through specific cases Includes the necessary mathematical treatments to allow the reader to dive into the more specialised literature, using this book as a guide
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