Abstract
Invariant random subgroups (IRS) are conjugacy invariant probability measures on the space of subgroups in a given group G. They can be regarded both as a generalization of normal subgroups as well as a generalization of lattices. As such, it is intriguing to extend results from the theories of normal subgroups and of lattices to the context of IRS. Another approach is to analyse and then use the space IRS(G) as a compact G-space in order to establish new results about lattices. The second approach has been taken in the work [1], sometimes refered to as the seven samurai paper.1 In these lecture notes we shall try to give a taste of both approaches.
Original language | English |
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Title of host publication | New Directions in Locally Compact Groups |
Editors | Pierre-Emmanuel Caprace |
Publisher | Cambridge University Press |
Chapter | 13 |
Pages | 186-204 |
Number of pages | 19 |
ISBN (Electronic) | 9781108332675 |
ISBN (Print) | 9781108413121 |
DOIs | |
State | Published - 8 May 2018 |
All Science Journal Classification (ASJC) codes
- General Mathematics