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The Baum-Connes conjecture, localisation of categories and quantum groups
The Baum-Connes conjecture has been an outstanding focal point of noncommutative geometry for over twenty years. The first part of this lecture course will show how to apply new ideas from homological algebra and homotopy theory to understand the conjecture more conceptually and to widen its scope towards locally compact quantum groups. The second part of the course will be devoted to applications of the Baum-Connes conjecture and its relations to classical topology. The following topics will be covered:
Prerequisites: Basic knowledge of K-theory of C*-algebras and elementary category theory. |
Part I
Ralf Meyer
Notes by P. Witkowski
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Download | Last update | |
15.07.2008 |
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Part II
Paul F. Baum
Notes by P. Witkowski
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Download | Last update | |
17.09.2008 |
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