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arXiv · 0801.1344

Homological algebra in bivariant K-theory and other triangulated categories. II

Ralf Meyer
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Abstract

We use homological ideals in triangulated categories to get a sufficient criterion for a pair of subcategories in a triangulated category to be complementary. We apply this criterion to construct the Baum-Connes assembly map for locally compact groups and torsion-free discrete quantum groups. Our methods are related to the abstract version of the Adams spectral sequence by Brinkmann and Christensen.

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Ralf Meyer. 2008-01-09. Homological algebra in bivariant K-theory and other triangulated categories. II. https://arxiv.org/abs/0801.1344

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