Cohomology of topological graphs and Cuntz-Pimsner algebras
| dc.creator | Deaconu, V. | |
| dc.creator | Kumjian, A. | |
| dc.creator | Muhly, P. | |
| dc.date | 1999-01-22 | |
| dc.date.accessioned | 2026-07-07T05:27:37Z | |
| dc.date.available | 2026-07-07T05:27:37Z | |
| dc.description | We compute the sheaf cohomology of a groupoid built from a local homeomorphism of a locally compact space $X$. In particular, we identify the twists over this groupoid, and its Brauer group. Our calculations refine those made by Kumjian, Muhly, Renault and Williams in the case $X$ is the path space of a graph, and the local homeomorphism is the shift. We also show how the C*-algebra of a twist may be identified with the Cuntz-Pimsner algebra constructed from a certain C*-correspondence. | |
| dc.description | amslatex, 10pp, see also http://unr.edu/homepage/alex/pub/, submitted to JOT | |
| dc.identifier | https://arxiv.org/abs/math/9901094 | |
| dc.identifier | http://arxiv.org/abs/math/9901094 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77986 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L55 | |
| dc.title | Cohomology of topological graphs and Cuntz-Pimsner algebras | |
| dc.type | text |