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arXiv · 1208.4141

Stable rank of Leavitt path algebras of arbitrary graphs

Hossein Larki·Abdolhamid Riazi
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Abstract

The stable rank of Leavitt path algebras of row-finite graphs was computed by Ara and Pardo. In this paper we extend this for an arbitrary directed graph. In some parts, we proceed our computation as the row-finite case while in some parts we use the knowledge about row-finite setting by applying the desingularizing method due to Drinen and Tomforde. In particular, we characterize purely infinite simple quotients of a Leavitt path algebra.

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Hossein Larki, Abdolhamid Riazi. 2012-08-20. Stable rank of Leavitt path algebras of arbitrary graphs. https://arxiv.org/abs/1208.4141

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