Stable rank of Leavitt path algebras of arbitrary graphs

Authors

  • H. Larki Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran
  • A. Riazi Department of Pure Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran

Keywords:

Leavitt path algebra, stable rank, purely infinite quotient

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 duo to Drinen and Tomforde. In particular, we characterize purely infinite simple quotients of a Leavitt path algebra. 10.1017/S0004972712000913

Published

2013-08-10

Issue

Vol. 88 No. 2 (2013)

Section

Articles
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