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Introduction to KK-Theory

Speaker: 
Simon Brain
Institution: 
Università di Trieste
Schedule: 
Monday, February 4, 2013 - 15:00 to 16:30
Location: 
A-136
Abstract: 

KK-Theory was introduced in the early 1980s by Kasparov as a generalization of both K-homology and K-theory for $C^*$-algebras. Over recent years it has found itself to be a key ingredient in noncommutative geometry.

The aim of this talk is to understand what KK-theory is, in both the "bounded" setting of noncommutative topology and the "unbounded" setting of noncommutative geometry, and how these two pictures are related. Time permitting, I will briefly outline some applications of KK-theory to index theory.

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