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SUMMARY:Soham Chakraborty (ENS): Ergodicity of linear actions on R^n and f
 actoriality of group von Neumann algebras
DTSTART:20260505T091500Z
DTEND:20260505T101500Z
DTSTAMP:20260507T231500Z
UID:indico-event-16089@indico.math.cnrs.fr
DESCRIPTION:For a countable discrete group G\, the group von Neumann algeb
 ra L(G) is a factor if and only if G is an `icc' group. For general locall
 y compact groups\, such an intrinsic characterization is a challenging ope
 n problem. A large class of examples in the literature of factors coming f
 rom non-discrete groups are from semidirect products\, where one often get
 s the freedom of exploiting ergodic theoretic techniques. We will state so
 me recent factoriality results for a class of semidirect product groups N 
 \\rtimes G where N is an abelian group of Lie type. Factoriality of such g
 roups is integrally connected to the question of ergodicity of linear acti
 ons on R^n. This talk is based on joint work with Chinmay Tamhankar.\n\nht
 tps://indico.math.cnrs.fr/event/16089/
URL:https://indico.math.cnrs.fr/event/16089/
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