# Operator algebras associated to modules over an integral domain

Document Type: Original Article

Author

Department of Mathematics, North Dakota State University, Fargo, North Dakota, USA

Abstract

We use the Fock semicrossed product to define an operator algebra associated to a module over an integral domain. We consider the $C^*$-envelope of the semicrossed product, and then consider properties of these algebras as models for studying general semicrossed products.

Keywords

### Histroty

• Receive Date: 15 June 2017
• Revise Date: 19 October 2017
• Accept Date: 20 October 2017