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SUMMARY:Higher Kazhdan projections\, K-theory and applications to delocali
sed L^2 Betti numbers
DTSTART:20240711T141500Z
DTEND:20240711T151500Z
DTSTAMP:20240813T215900Z
UID:indico-event-870@events.gwdg.de
DESCRIPTION:Speakers: Sanaz Pooya\n\nFor a discrete group G\, higher Kazhd
an projections are projections constructed from the reduced cohomology of
G with coefficients in unitary representations. If a unitary representatio
n has spectral gap\, then such projections lie in the group C*-algebra ass
ociated with the unitary representation and give rise to K-theory elements
.In this talk I introduce the construction of higher Kazhdan projections a
nd compute the associated K-theory classes for certain groups\, such as PS
L_2(Z). This leads to several vanishing and non vanishing results for delo
calised L²-Betti numbers.This talk is based on joint work with Piotr Nowa
k and Kang Li as well as joint work with Hang Wang.\n\nhttps://events.gwdg
.de/event/870/
LOCATION:SZ (MI)
URL:https://events.gwdg.de/event/870/
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