RT journal article
T1 Flow invariants in the classification of Leavitt path algebras
A1 Abrams, G.
A1 Louly, A.
A1 Pardo Espino, Enrique
A1 Smith, C.
A2 Matemáticas
K1 Leavitt path algebra
K1 Morita equivalence
K1 Flow equivalence
AB We analyze in the context of Leavitt path algebras some graph operations introduced in the context of symbolic dynamics by Williams, Parry and Sullivan, and Franks. We show that these operations induce Morita equivalence of the corresponding Leavitt path algebras. As a consequence we obtain our two main results: the first gives sufficient conditions for which the Leavitt path algebras in a certain class are Morita equivalent, while the second gives sufficient conditions which yield isomorphisms. We discuss a possible approach to establishing whether or not these conditions are also in fact necessary. In the final section we present many additional operations on graphs which preserve Morita equivalence (resp. isomorphism) of the corresponding Leavitt path algebras
SN 0021-8693
YR 2011
FD 2011-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16098
UL http://hdl.handle.net/10498/16098
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026