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STABLE RANK OF LEAVITT PATH ALGEBRAS OF ARBITRARY GRAPHS

Published online by Cambridge University Press:  12 December 2012

HOSSEIN LARKI*
Affiliation:
Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Chamran University, Ahwaz, Iran
ABDOLHAMID RIAZI
Affiliation:
Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology,424 Hafez Ave., 15914 Tehran, Iran email riazi@aut.ac.ir
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Abstract

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The stable rank of Leavitt path algebras of row-finite graphs was computed by Ara and Pardo. In this paper we extend this to an arbitrary directed graph. In part our computation proceeds as for the row-finite case, but we also use knowledge of the row-finite setting by applying the desingularising method due to Drinen and Tomforde. In particular, we characterise purely infinite simple quotients of a Leavitt path algebra.

Type
Research Article
Copyright
Copyright ©2012 Australian Mathematical Publishing Association Inc. 

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