RT info:eu-repo/semantics/article
T1 The classification question for Leavitt path algebras
A1 Abrams, G.
A1 Anh, P.N.
A1 Louly, A.
A1 Pardo, E.
A2 Matemáticas
K1 Leavitt path algebra
K1 Isomorphism
K1 K-theory
AB We prove an algebraic version of the Gauge-Invariant Uniqueness Theorem, a result which gives information about the injectivity of certain homomorphisms between ZZ-graded algebras. As our main application of this theorem, we obtain isomorphisms between the Leavitt path algebras of specified graphs. From these isomorphisms we are able to achieve two ends. First, we show that the K0K0 groups of various sets of purely infinite simple Leavitt path algebras, together with the position of the identity element in K0K0, classify the algebras in these sets up to isomorphism. Second, we show that the isomorphism between matrix rings over the classical Leavitt algebras, established previously using number-theoretic methods, can be reobtained via appropriate isomorphisms between Leavitt path algebras
SN 0021-8693
YR 2008
FD 2008-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16095
UL http://hdl.handle.net/10498/16095
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 20-oct-2020