Flow invariants in the classification of Leavitt path algebras

Autor:	Abrams, G., Louly, A., Pardo, E., Smith, C.
Rok vydání:	2008
Předmět:	Mathematics - Rings and Algebras Mathematics - Operator Algebras 16D70 46L05
Druh dokumentu:	Working Paper
Popis:	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. Comment: Final version. To appear in Journal of Algebra
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0812.0553 Zobrazit plný text záznamu View this record from Arxiv