Journal article
Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special matrices, Vol.3(1), pp.123-154
07/08/2015
DOI: 10.1515/spma-2015-0012
Abstract
In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested
in the cases where groupoids are generated by directed graphs. By defining an injective map α from
the graph groupoid G of a directed graph G to the algebra A of all arithmetic functions, we establish a corresponding
subalgebra A
= C
[α(G)]︀ of A. We construct a suitable representation of AG, determined both by
G and by an arbitrarily fixed prime p. And then based on this representation, we consider free probability on
A
Details
- Title: Subtitle
- Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
- Creators
- Ilwoo Cho - Saint Ambrose UniversityPalle E. T Jorgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Special matrices, Vol.3(1), pp.123-154
- DOI
- 10.1515/spma-2015-0012
- ISSN
- 2300-7451
- eISSN
- 2300-7451
- Publisher
- De Gruyter Open
- Number of pages
- 32
- Language
- English
- Date published
- 07/08/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984241053302771
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