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STABLE RANK OF LEAVITT PATH ALGEBRAS OF ARBITRARY GRAPHS
Published online by Cambridge University Press: 12 December 2012
Abstract
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.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 88 , Issue 2 , October 2013 , pp. 206 - 217
- Copyright
- Copyright ©2012 Australian Mathematical Publishing Association Inc.
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