Branching systems and representations of Cohn-Leavitt path algebras of separated graphs

JOURNAL OF ALGEBRA

卷:422

Article

Goncalves, Daniel¹  Royer, Danilo¹ 

[1] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil

关键词: Cohn-Leavitt path algebras;    Separated graphs;    Representations;    Branching systems;   

DOI  :  10.1016/j.jalgebra.2014.09.020

来源: Elsevier

【 摘 要 】

For each separated graph (E, C) we construct a family of branching systems over a set X and show how each branching system induces a representation of the Cohn-Leavitt path algebra associated with (E, C) as homomorphisms over the module of functions in X. We also prove that the abelianized Cohn-Leavitt path algebra of a separated graph with no loops can be written as an amalgamated free product of abelianized Cohn-Leavitt algebras that can be faithfully represented via branching systems. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free