Factor Representations of Diffeomorphism Groups

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dc.creatorBoyer, Robert P
dc.date2002-07-03
dc.date.accessioned2026-07-07T04:49:31Z
dc.date.available2026-07-07T04:49:31Z
dc.descriptionGeneral semifinite factor representations of the diffeomorphism group of euclidean space are constructed by means of a canonical correspondence with the finite factor representations of the inductive limit unitary group. This construction includes the quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a non-linear form of complete positivity as developed by Arveson. We also compare the asymptotic character formula for the unitary group with the thermodynamic ($N/V$) limit construction for diffeomorphism group representations.
dc.identifierhttps://arxiv.org/abs/math/0207038
dc.identifierhttp://arxiv.org/abs/math/0207038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64453
dc.subjectRepresentation Theory
dc.subjectOperator Algebras
dc.subject22e65
dc.titleFactor Representations of Diffeomorphism Groups
dc.typetext

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