Leavitt R-algebras over countable graphs embed into L2,R

Authors

Nathan D. Brownlowe, University of WollongongFollow
Adam P. Sorensen, University of OsloFollow

RIS ID

105482

Publication Details

Brownlowe, N. & Sorensen, A. P W. (2016). Leavitt R-algebras over countable graphs embed into L2,R. Journal of Algebra, 454 334-356.

Abstract

For a commutative ring R with unit we show that the Leavitt path algebra LR(E) of a graph E embeds into L2,R precisely when E is countable. Before proving this result we prove a generalised Cuntz-Krieger Uniqueness Theorem for Leavitt path algebras over R.