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New directions in locally compact groups /
A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2018.
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| Colección: | London Mathematical Society lecture note series ;
447. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications. 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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| Descripción Física: | 1 online resource (viii, 358 pages) : illustrations |
| Bibliografía: | Includes bibliographical references and index. |
| ISBN: | 9781108351942 1108351948 9781108332675 1108332676 |