Abstract
We define exact sequences in the enchilada category of C∗-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.
| Original language | English (US) |
|---|---|
| Article number | 12 |
| Pages (from-to) | 350-370 |
| Number of pages | 21 |
| Journal | Theory and Applications of Categories |
| Volume | 35 |
| State | Published - 2020 |
Keywords
- C-correspondence
- Crossed product
- Exact functor
- Short exact sequence
ASJC Scopus subject areas
- Mathematics (miscellaneous)