Gene Abrams

collaborators

2 papers

math.RA2008

Regularity conditions for arbitrary Leavitt path algebras

G. Abrams, K. M. Rangaswamy

We show that if $E$ is an arbitrary acyclic graph then the Leavitt path algebra $L_{K} (E)$ is locally $K$ -matricial; that is, $L_{K} (E)$ is the direct union of subalgebras, each isomor…

math.RA2007★ 4 cited

The classification question for Leavitt path algebras

G. Abrams, P. N. Ánh, A. Louly +1

We prove an algebraic version of the Gauge-Invariant Uniqueness Theorem, a result which gives information about the injectivity of certain homomorphisms between $Z$ -grade…