Exact sequences in the Enchilada category
Operator Algebras
2023-10-27 v3
Abstract
We define exact sequences in the enchilada category of -algebras and correspondences, and prove that the reduced-crossed-product functor is not exact for the enchilada categories. Our motivation was to determine whether we can have a better understanding of the Baum-Connes conjecture by using enchilada categories. Along the way we prove numerous results showing that the enchilada category is rather strange.
Cite
@article{arxiv.1909.00506,
title = {Exact sequences in the Enchilada category},
author = {Menevse Eryuzlu and Steven Kaliszewski and John Quigg},
journal= {arXiv preprint arXiv:1909.00506},
year = {2023}
}
Comments
incorporates published corrigendum