RT journal article
T1 Isomorphisms between Leavitt algebras and their matrix rings
A1 Abrams, G.
A1 Anh, P.N.
A1 Pardo Espino, Enrique
A2 Matemáticas
AB Let K be any field, let Ln denote the Leavitt algebra of type (1,n – 1) having coefficients in K, and let Md(Ln) denote the ring of d × d matrices over Ln. In our main result, we show that Md(Ln) ≅ Ln if and only if d and n – 1 are coprime. We use this isomorphism to answer a question posed in [W. Paschke and N. Salinas, Matrix algebras over , Michigan Math. J. 26 (1979), 3–12.] regarding isomorphisms between various C*-algebras. Furthermore, our result demonstrates that data about the K 0 structure is sufficient to distinguish up to isomorphism the algebras in an important class of purely infinite simple K-algebras.
SN 1435-5345
YR 2008
FD 2008-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16096
UL http://hdl.handle.net/10498/16096
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026