Open Access
Spring 2018 Operator algebras associated to modules over an integral domain
Benton Duncan
Adv. Oper. Theory 3(2): 374-387 (Spring 2018). DOI: 10.15352/AOT.1706-1181

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.

Citation

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Benton Duncan. "Operator algebras associated to modules over an integral domain." Adv. Oper. Theory 3 (2) 374 - 387, Spring 2018. https://doi.org/10.15352/AOT.1706-1181

Information

Received: 15 June 2017; Accepted: 20 October 2017; Published: Spring 2018
First available in Project Euclid: 15 December 2017

zbMATH: 06848506
MathSciNet: MR3738218
Digital Object Identifier: 10.15352/AOT.1706-1181

Subjects:
Primary: 47L74
Secondary: 47L40

Keywords: integral domain , module , semicrossed product

Rights: Copyright © 2018 Tusi Mathematical Research Group

Vol.3 • No. 2 • Spring 2018
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