## Rocky Mountain Journal of Mathematics

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

### Partial group algebra with projections and relations

#### 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