Advances in Operator Theory

Operator algebras associated to modules over an integral domain

Benton Duncan

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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.

Article information

Source
Adv. Oper. Theory, Volume 3, Number 2 (2018), 374-387.

Dates
Received: 15 June 2017
Accepted: 20 October 2017
First available in Project Euclid: 15 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.aot/1513328637

Digital Object Identifier
doi:10.15352/AOT.1706-1181

Mathematical Reviews number (MathSciNet)
MR3738218

Zentralblatt MATH identifier
06848506

Subjects
Primary: 47L74
Secondary: 47L40: Limit algebras, subalgebras of $C^*$-algebras

Keywords
semicrossed product integral domain module

Citation

Duncan, Benton. Operator algebras associated to modules over an integral domain. Adv. Oper. Theory 3 (2018), no. 2, 374--387. doi:10.15352/AOT.1706-1181. https://projecteuclid.org/euclid.aot/1513328637


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