Cohomology of topological graphs and Cuntz-Pimsner algebras

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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.
amslatex, 10pp, see also http://unr.edu/homepage/alex/pub/, submitted to JOT

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Operator Algebras, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/77986

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9901094
 http://arxiv.org/abs/math/9901094

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arXiv