E-semigroups over closed convex cones
Operator Algebras
2018-07-31 v1
Abstract
We initiate a study of E-semigroups over convex cones. We prove a structure theorem for E-semigroups which leave the algebra of compact operators invariant. Then we study in detail the CCR flows, Esemigroups constructed from isometric representations, by describing their units and gauge groups. We exhibit an uncountable family of parameter CCR flows, containing mutually non-cocycle-conjugate E-$semigroups.
Cite
@article{arxiv.1807.11375,
title = {E-semigroups over closed convex cones},
author = {Anbu Arjunan and R. Srinivasan and S. Sundar},
journal= {arXiv preprint arXiv:1807.11375},
year = {2018}
}