期刊论文详细信息
Special Matrices | 卷:3 |
Matrices induced by arithmetic functions,primes and groupoid actions of directedgraphs | |
Cho Ilwoo1  Jorgensen Palle E. T.1  | |
[1] St. Ambrose Univ., Dept. of Math. ; | |
关键词: Directed Graphs; Graph Groupoids; Groupoid Dynamical Systems; 05E15; 11G15; 11R04; 11R09; 11R47; 11R56; 46L10; 46L40; 46L53; 46L54; | |
DOI : 10.1515/spma-2015-0012 | |
来源: DOAJ |
【 摘 要 】
In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interestedin the cases where groupoids are generated by directed graphs. By defining an injective map α fromthe graph groupoid G of a directed graph G to the algebra A of all arithmetic functions, we establish a correspondingsubalgebra AG = C*[α(G)]︀ of A. We construct a suitable representation of AG, determined both byG and by an arbitrarily fixed prime p. And then based on this representation, we consider free probability onAG.
【 授权许可】
Unknown