Abstract
A cohomology for product systems of Hilbert bimodules is defined via the 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 2-cocycles. In particular, this process gives rise to cohomological deformations of the -algebras associated with the product system. Concrete examples of deformations of the Cuntz’s algebra arising this way are investigated, and we show that they are simple and purely infinite.
Citation
Jeong Hee Hong. Mi Jung Son. Wojciech Szymański. "On cohomology for product systems." Banach J. Math. Anal. 11 (2) 282 - 294, April 2017. https://doi.org/10.1215/17358787-3812500
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