KolloquiumGRK Coarse geometry of Hecke pairs and K-theory |  |
Speaker:Clément Dell'Aiera, Department of Mathematics, ENS Lyon
Location:Mathematisches Institut, Bunsenstr 3-5SitzungszimmerZoom: https://uni-goettingen.zoom.us/j/91336854872 Live Stream: http://streaming.math.uni-goettingen.de/Gras Geo Map
Organizer:Fakultät für Mathematik und Informatik
Details:
Defined by Shimura in the 50s, Hecke pairs are almost normal inclusions of subgroups. Originally number theoretic objects, they were introduced to operator algebraists by the celebrated work of Bost and Connes when they discovered a C*-dynamical system whose partition function was the zêta function. To a Hecke pair, one can associate a locally compact totally disconnected group replacing the quotient, its so called Schlichting completion.
We give a geometric interpretation to Hecke pairs, and, with the help of the Schlichting completion, study the K-theory of the reduced group algebra of a group with an almost normal subgroup. This allows to prove new stability results for the Baum-Connes and Novikov conjectures, as well as establishing new examples of groups satisfying the Baum-Connes conjecture with coefficients.
We give a geometric interpretation to Hecke pairs, and, with the help of the Schlichting completion, study the K-theory of the reduced group algebra of a group with an almost normal subgroup. This allows to prove new stability results for the Baum-Connes and Novikov conjectures, as well as establishing new examples of groups satisfying the Baum-Connes conjecture with coefficients.
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Type:Colloquium
Language:English
Category:Research
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Direct link to event:https://events.goettingen-campus.de/event?eventId=28321
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