# Continuous families of E_0-semigroups Academic Article

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• 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. Subjects: Operator Algebras (math. OA) MSC classes: 46L55 Cite as: arXiv: 1106.5967 [math. OA](or arXiv: 1106.5967 v1 [math. OA] for this version) Submission history From: Daniel Markiewicz [view email][v1] Wed, 29 Jun 2011 15: 15: 12 GMT (13kb)