Continuous families of E_0-semigroups
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 $\beta$ is a Lie group, we establish a correspondence between such families and principal bundles whose structure group is the gauge group of \beta.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2011
- DOI:
- 10.48550/arXiv.1106.5967
- arXiv:
- arXiv:1106.5967
- Bibcode:
- 2011arXiv1106.5967H
- Keywords:
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- Mathematics - Operator Algebras;
- 46L55