Continuous families of E_0-semigroups

Mathematics – Operator Algebras

Scientific paper

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Scientific paper

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.

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