Continuous families of E0-semigroups

Ilan Hirshberg; Daniel Markiewicz

Continuous families of E₀-semigroups

Ilan Hirshberg, Daniel Markiewicz

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We consider families of E₀-semigroups continuously parametrized by a compact Hausdorff space, which are cocycle-equivalent to a given E ₀-semigroup β. When the gauge group of β is a Lie group, we establish a correspondence between such families and principal bundles whose structure group is the gauge group of β.

Original language	English
Pages (from-to)	145-160
Number of pages	16
Journal	Houston Journal of Mathematics
Volume	40
Issue number	1
State	Published - 1 Jan 2014

ASJC Scopus subject areas

General Mathematics

Cite this

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abstract = "We consider families of E0-semigroups continuously parametrized by a compact Hausdorff space, which are cocycle-equivalent to a given E 0-semigroup β. When the gauge group of β is a Lie group, we establish a correspondence between such families and principal bundles whose structure group is the gauge group of β.",

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AU - Markiewicz, Daniel

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AB - We consider families of E0-semigroups continuously parametrized by a compact Hausdorff space, which are cocycle-equivalent to a given E 0-semigroup β. When the gauge group of β is a Lie group, we establish a correspondence between such families and principal bundles whose structure group is the gauge group of β.

UR - https://www.scopus.com/pages/publications/84901024877

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JO - Houston Journal of Mathematics

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Continuous families of E₀-semigroups

Abstract

ASJC Scopus subject areas

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