Exact Structures for Operator Modules
Operator Algebras
2021-05-12 v1 Category Theory
Abstract
We demonstrate how exact structures can be placed on the additive category of right operator modules over an operator algebra in order to discuss global dimension for operator algebras. The properties of the Haagerup tensor product play a decisive role in this.
Cite
@article{arxiv.2105.05006,
title = {Exact Structures for Operator Modules},
author = {Martin Mathieu and Michael Rosbotham},
journal= {arXiv preprint arXiv:2105.05006},
year = {2021}
}
Comments
manuscript submitted to Canadian Journal of Mathematics in May 2021