## Rocky Mountain Journal of Mathematics

### Non-stable $K$-theory for Leavitt path algebras

#### Abstract

We compute the monoid $\mathcal{V} [ L_{K} (E) ]$ of isomorphism classes of finitely generated projective modules of a Leavitt path algebra over an arbitrary directed graph. Our result generalizes the result of Ara, Moreno and Pardo in which they computed the monoid $\mathcal{V}[ L_{K} (E) ]$ of a Leavitt path algebra over a countable row-finite directed graph.

#### Article information

Source
Rocky Mountain J. Math., Volume 44, Number 6 (2014), 1817-1850.

Dates
First available in Project Euclid: 2 February 2015

https://projecteuclid.org/euclid.rmjm/1422885096

Digital Object Identifier
doi:10.1216/RMJ-2014-44-6-1817

Mathematical Reviews number (MathSciNet)
MR3310950

Zentralblatt MATH identifier
1332.16003

Subjects
Primary: 16B99: None of the above, but in this section
Secondary: 46L35: Classifications of $C^*$-algebras

#### Citation

Hay, Damon; Loving, Marissa; Montgomery, Martin; Ruiz, Efren; Todd, Katherine. Non-stable $K$-theory for Leavitt path algebras. Rocky Mountain J. Math. 44 (2014), no. 6, 1817--1850. doi:10.1216/RMJ-2014-44-6-1817. https://projecteuclid.org/euclid.rmjm/1422885096

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