On cohomology for product systems
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Publication:516283
DOI10.1215/17358787-3812500zbMATH Open1372.46041arXiv1407.7264OpenAlexW1795828914MaRDI QIDQ516283
Author name not available (Why is that?)
Publication date: 14 March 2017
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1407.7264
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