New York Journal of Mathematics
Volume 19 (2013) 39-50

  

Benton L. Duncan

Operator algebras associated to integral domains

view    print


Published: February 12, 2013
Keywords: Integral domains, semicrossed products
Subject: 47L74, 47L40

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.

Author information

Department of Mathematics, North Dakota State University, Fargo, North Dakota, USA
benton.duncan@ndsu.edu