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Categorical aspects of bivariant K-theory

Ralf Meyer
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Abstract

This survey article on bivariant Kasparov theory and E-theory is mainly intended for readers with a background in homotopical algebra and category theory. We approach both bivariant K-theories via their universal properties and equip them with extra structure such as a tensor product and a triangulated category structure. We discuss the construction of the Baum-Connes assembly map via localisation of categories and explain how this is related to the purely topological construction by Davis and Lueck.

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Ralf Meyer. 2007-02-06. Categorical aspects of bivariant K-theory. https://doi.org/10.4171/060-1/1

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