Cohomology for spatial super-product systems
Operator Algebras
2019-07-17 v1
Abstract
We introduce a cohomology theory for spatial super- product systems and compute the cocycles for some basic examples called as Clifford super-product systems, thereby distinguish them up to isomorphism. This consequently proves that a family of semigroups on type III factors, which we call as CAR flows, are non-cocycle-conjugate for different ranks. Similar results follows for the even CAR flows as well. We also compute the automorphsim group of the Clifford super-product systems.
Keywords
Cite
@article{arxiv.1608.00610,
title = {Cohomology for spatial super-product systems},
author = {Oliver T. Margetts and R Srinivasan},
journal= {arXiv preprint arXiv:1608.00610},
year = {2019}
}