English

Continuous families of E_0-semigroups

Operator Algebras 2011-06-30 v1

Abstract

We consider families of E_0-semigroups continuously parametrized by a compact Hausdorff space, which are cocycle-equivalent to a given E_0-semigroup \beta. When the gauge group of β\beta is a Lie group, we establish a correspondence between such families and principal bundles whose structure group is the gauge group of \beta.

Keywords

Cite

@article{arxiv.1106.5967,
  title  = {Continuous families of E_0-semigroups},
  author = {Ilan Hirshberg and Daniel Markiewicz},
  journal= {arXiv preprint arXiv:1106.5967},
  year   = {2011}
}
R2 v1 2026-06-21T18:29:15.206Z