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Imbedding of a group of measure-preserving diffeomorphisms into a semidirect product and its unitary representations. (English) Zbl 0484.58011
MSC:
58D05 Groups of diffeomorphisms and homeomorphisms as manifolds
22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
57R50 Differential topological aspects of diffeomorphisms
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
28D15 General groups of measure-preserving transformations
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