Leavitt R-algebras over countable graphs embed into L_2,R

2015/03/31 by Nathan Brownlowe, Adam P W Sørensen · 1 citation
Mathematics · #math.OA #math.RA

paper · pdf · doi:10.1016/j.jalgebra.2016.01.029

published as Journal of Algebra, Volume 454, 15 May 2016, Pages 334-356 · 17 pages. At the request of a referee the previous version of this paper has been split into two papers. This version is the first of these papers. The second will also be uploaded to the arXiv

arxiv created 2016/03/11 · arxiv updated 2016/03/14

Abstract

For a commutative ring R with unit we show that the Leavitt path algebra L_R(E) of a graph E embeds into L_2,R precisely when E is countable. Before proving this result we prove a generalised Cuntz-Krieger Uniqueness Theorem for Leavitt path algebras over R.

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