Semigroupoid C*-Algebras
| dc.creator | Exel, Ruy | |
| dc.date | 2006-11-30 | |
| dc.date | 2007-03-16 | |
| dc.date.accessioned | 2026-07-07T07:52:04Z | |
| dc.date.available | 2026-07-07T07:52:04Z | |
| dc.description | A semigroupoid is a set equipped with a partially defined associative operation. Given a semigroupoid Λwe construct a C*-algebra C*(Λ) from it. We then present two main examples of semigroupoids, namely the Markov semigroupoid associated to an infinite 0-1 matrix, and the semigroupoid associated to a row-finite higher-rank graph without sources. In both cases the semigroupoid C*-algebra is shown to be isomorphic to the algebras usually attached to the corresponding combinatorial object, namely the Cuntz-Krieger algebras and the higher-rank graph C*-algebras, respectively. In the case of a higher-rank graph (Λ,d), it follows that the dimension function d is superfluous for defining the corresponding C*-algebra. | |
| dc.description | 25 pages, 12 point type, no figures; Reformulated introduction and abstract. New references. No change in the basic mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0611929 | |
| dc.identifier | http://arxiv.org/abs/math/0611929 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125745 | |
| dc.subject | Operator Algebras | |
| dc.subject | Category Theory | |
| dc.subject | 46L05; 18B40 | |
| dc.title | Semigroupoid C*-Algebras | |
| dc.type | text |