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arXiv · 1503.08705

Leavitt $R$-algebras over countable graphs embed into $L_{2,R}$

Nathan Brownlowe·Adam P W Sørensen
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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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Nathan Brownlowe, Adam P W Sørensen. 2016-03-11. Leavitt $R$-algebras over countable graphs embed into $L_{2,R}$. https://doi.org/10.1016/j.jalgebra.2016.01.029

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