Rocky Mountain Journal of Mathematics

Partial group algebra with projections and relations

Danilo Royer

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Abstract

We introduce the notion of the partial group algebra with projections and relations and show that this $C^*$-algebra is a partial crossed product. Examples of partial group algebras with projections and relations are the Cuntz-Krieger algebras and the unitization of $C^*$-algebras of directed graphs.

Article information

Source
Rocky Mountain J. Math., Volume 49, Number 2 (2019), 645-660.

Dates
Received: 29 March 2018
Revised: 8 August 2018
First available in Project Euclid: 23 June 2019

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1561318398

Digital Object Identifier
doi:10.1216/RMJ-2019-49-2-645

Mathematical Reviews number (MathSciNet)
MR3973245

Zentralblatt MATH identifier
07079989

Subjects
Primary: 46L05: General theory of $C^*$-algebras

Keywords
partial group algebra partial crossed product

Citation

Royer, Danilo. Partial group algebra with projections and relations. Rocky Mountain J. Math. 49 (2019), no. 2, 645--660. doi:10.1216/RMJ-2019-49-2-645. https://projecteuclid.org/euclid.rmjm/1561318398


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