Open Access
June 2015 On the gauge action of a Leavitt path algebra
María Guadalupe Corrales García, Dolores Martín Barquero, Cándido Martín González
Kyoto J. Math. 55(2): 243-256 (June 2015). DOI: 10.1215/21562261-2871740


We introduce a revised notion of gauge action in relation to Leavitt path algebras. This notion is based on the Laurent polynomial algebra and captures the full information of the grading on the algebra as it is the case of the gauge action of the graph C -algebra.


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María Guadalupe Corrales García. Dolores Martín Barquero. Cándido Martín González. "On the gauge action of a Leavitt path algebra." Kyoto J. Math. 55 (2) 243 - 256, June 2015.


Received: 23 August 2013; Revised: 17 January 2014; Accepted: 10 February 2014; Published: June 2015
First available in Project Euclid: 11 June 2015

zbMATH: 1332.16007
MathSciNet: MR3356072
Digital Object Identifier: 10.1215/21562261-2871740

Primary: 16D70

Keywords: Gauge action , graph $C^{*}$-algebra , Laurent polynomial algebra , Leavitt path algebra

Rights: Copyright © 2015 Kyoto University

Vol.55 • No. 2 • June 2015
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