On cohomology for product systems

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

95 Downloads (Pure)

Abstrakt

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 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 that they are simple and purely infinite.
OriginalsprogEngelsk
TidsskriftBanach Journal of Mathematical Analysis
Vol/bind11
Udgave nummer2
Sider (fra-til)282-294
ISSN1735-8787
DOI
StatusUdgivet - 2017

Fingeraftryk Dyk ned i forskningsemnerne om 'On cohomology for product systems'. Sammen danner de et unikt fingeraftryk.

Citationsformater