kk-Theory for Banach Algebras I: The Non-Equivariant Case
K-Theory and Homology
2014-06-10 v1
Abstract
kk is a bivariant K-theory for Banach algebras that has reasonable homological properties, a product and is Morita invariant in a very general sense. We define it here by a universal property and ensure its existence in a rather abstract manner using triangulated categories. The definition ensures that there is a natural transformation from Lafforgue's theory KK into it so that one can take products of elements in KK that lie in kk.
Keywords
Cite
@article{arxiv.1406.2094,
title = {kk-Theory for Banach Algebras I: The Non-Equivariant Case},
author = {Walther Paravicini},
journal= {arXiv preprint arXiv:1406.2094},
year = {2014}
}
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43 pages