Higher rank graph C*-algebras
| dc.creator | Kumjian, Alex | |
| dc.creator | Pask, David | |
| dc.date | 2000-07-05 | |
| dc.date.accessioned | 2026-07-07T04:36:15Z | |
| dc.date.available | 2026-07-07T04:36:15Z | |
| dc.description | Building on recent work of Robertson and Steger, we associate a C*-algebra to a combinatorial object which may be thought of as a higher rank graph. This C*-algebra is shown to be isomorphic to that of the associated path groupoid. Sufficient conditions on the higher rank graph are found for the associated C*-algebra to be simple, purely infinite and AF. Results concerning the structure of crossed products by certain natural actions of discrete groups are obtained; a technique for constructing rank 2 graphs from ``commuting'' rank 1 graphs is given. | |
| dc.description | 14 pages, see also http://nyjm.albany.edu:8000/j/2000/6-1nf.htm | |
| dc.identifier | https://arxiv.org/abs/math/0007029 | |
| dc.identifier | http://arxiv.org/abs/math/0007029 | |
| dc.identifier | New York J. Math. 6 (2000), 1-20 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59531 | |
| dc.subject | Operator Algebras | |
| dc.subject | Category Theory | |
| dc.subject | 46L05 (primary); 46L55 (secondary) | |
| dc.title | Higher rank graph C*-algebras | |
| dc.type | text |