Prochainement

Lundi 19 novembre 14:00-15:00 Juhani Koivisto (Université Paris-Sud)
The classification of amenable locally compact second countable groups up to measure equivalence

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Lieu : Salle 2P8

Résumé : As observed by Furman, as a consequence of the Ornstein-Weiss theorem all countably infinite amenable groups are measure equivalent. In joint work with Kyed and Raum, we showed that this extends to all infinite unimodular locally compact second countable groups, and moreover that all non-unimodular amenable locally compact second countable groups are measure equivalent using the classification of injective factors by Connes-Haagerup. In this talk, I will state the key definitions and give an outline the proof in the non-unimodular case assuming no familiarity with the topic.

The classification of amenable locally compact second countable groups up to measure equivalence  Version PDF

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