$K$-continuity is equivalent to $K$-exactness
Operator Algebras
2012-12-11 v2 K-Theory and Homology
Abstract
It is well known that the functor of taking the minimal tensor product with a fixed -algebra preserves inductive limits if and only if it preserves extensions. In other words, tensor continuity is equivalent to tensor exactness. We consider a -theoretic analogue of this result and show that -continuity is equivalent to -exactness, using a result of M. Dadarlat.
Cite
@article{arxiv.1211.4490,
title = {$K$-continuity is equivalent to $K$-exactness},
author = {Otgonbayar Uuye},
journal= {arXiv preprint arXiv:1211.4490},
year = {2012}
}
Comments
v1. 7 pages; v2. minor update