Operator algebras associated to integral domains
Operator Algebras
2013-07-23 v1
Abstract
We study operator algebras associated to integral domains. In particular, with respect to a set of natural identities we look at the possible nonselfadjoint operator algebras which encode the ring structure of an integral domain. We show that these algebras give a new class of examples of semicrossed products by discrete semigroups. We investigate the structure of these algebras together with a particular class of representations.
Cite
@article{arxiv.1001.0730,
title = {Operator algebras associated to integral domains},
author = {Benton L. Duncan},
journal= {arXiv preprint arXiv:1001.0730},
year = {2013}
}
Comments
11 pages