56 citations · 364 across the 42 of their papers we have counts for
5 papers · 1 filter
Classification of unital simple Leavitt path algebras of infinite graphs
Efren Ruiz, Mark Tomforde
We prove that if E and F are graphs with a finite number of vertices and an infinite number of edges, if K is a field, and if L_K(E) and L_K(F) are simple Leavitt path algebras, th…
One-sided shift spaces over infinite alphabets
William Ott, Mark Tomforde, Paulette Willis
We define a notion of (one-sided) shift spaces over infinite alphabets. Unlike many previous approaches to shift spaces over countable alphabets, our shift spaces are compact Hausd…
Ideal-related K-theory for Leavitt path algebras and graph C*-algebras
Efren Ruiz, Mark Tomforde
We introduce a notion of ideal-related K-theory for rings, and use it to prove that if two complex Leavitt path algebras are Morita equivalent (respectively, isomorphic), then the…
Ideals in Graph Algebras
Efren Ruiz, Mark Tomforde
We show that the graph construction used to prove that a gauge-invariant ideal of a graph C*-algebra is isomorphic to a graph C*-algebra, and also used to prove that a graded ideal…
The Ranges of K-theoretic Invariants for Nonsimple Graph Algebras
Søren Eilers, Takeshi Katsura, Mark Tomforde +1
There are many classes of nonsimple graph C*-algebras that are classified by the six-term exact sequence in K-theory. In this paper we consider the range of this invariant and dete…