On invariant measures for the group of diffeomorphisms of the circle

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In a previous paper the author constructed biinvariant measures (possibly having values in a line bundle) for a loop group LK (with compact simply connected K) acting on the formal completion of its complexification LG. One motivation for this was to find a geometric construction for the unitary structure for the positive energy representations of LK. In this paper we pursue an analogous construction for the group of diffeomorphisms of the circle.
36 pages, AMSTEX

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Functional Analysis, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/152411

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/funct-an/9612009
 http://arxiv.org/abs/funct-an/9612009

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