On Cohomology for Product Systems
Operator Algebras
2017-04-05 v1
Abstract
A cohomology for product systems of Hilbert bimodules is defined via the Ext functor. For the class of product systems corresponding to irreversible algebraic dynamics, relevant resolutions are found explicitly and it is shown how the underlying product system can be twisted by the 2-cocycles. In particular, this process gives rise to cohomological deformations of the C*-algebras associated with the product system. Concrete examples of deformations of the Cuntz's algebra Q_N arising this way are investigated and we show they are simple and purely infinite.
Keywords
Cite
@article{arxiv.1407.7264,
title = {On Cohomology for Product Systems},
author = {Jeong Hee Hong and Mi Jung Son and Wojciech Szymanski},
journal= {arXiv preprint arXiv:1407.7264},
year = {2017}
}
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15 pages