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Elke Enning

Thomas Nikolaus: The algebraic K-Theory version of the KK-category. Oberseminar C*-Algebren.

Tuesday, 05.12.2023 16:15 im Raum SRZ 216/217

Mathematik und Informatik

We will explain some recent developements in algebraic K-Theory and highlight similarities (and differences) to the situation in operator K-Theory. The central object that we consider is the category of non-commutative motives a la Blumberg--Gepner--Tabuada. We argue that this should be seen as an algebraic analogue of Kasparov's KK-category. Through recent developments of Efimov and Claussen--Scholze we can now transport some methods from the KK-category to the category of non-commutative motives, specifically give similar models of assembly maps. If time permits we explain applications to geometric topology.



Angelegt am Tuesday, 29.08.2023 09:53 von Elke Enning
Geändert am Monday, 06.11.2023 10:34 von Elke Enning
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