An Algebraic Duality Theory for Multiplicative Unitaries

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dc.creatorDoplicher, S.
dc.creatorPinzari, C.
dc.creatorRoberts, J. E.
dc.date2000-01-17
dc.date2001-01-10
dc.date.accessioned2026-07-07T04:33:21Z
dc.date.available2026-07-07T04:33:21Z
dc.descriptionMultiplicative Unitaries are described in terms of a pair of commuting shifts of relative depth two. They can be generated from ambidextrous Hilbert spaces in a tensor C*-category. The algebraic analogue of the Takesaki-Tatsuuma Duality Theorem characterizes abstractly C*-algebras acted on by unital endomorphisms that are intrinsically related to the regular representation of a multiplicative unitary. The relevant C*-algebras turn out to be simple and indeed separable if the corresponding multiplicative unitaries act on a separable Hilbert space. A categorical analogue provides internal characterizations of minimal representation categories of a multiplicative unitary. Endomorphisms of the Cuntz algebra related algebraically to the grading are discussed as is the notion of braided symmetry in a tensor C*-category.
dc.descriptionone reference added
dc.identifierhttps://arxiv.org/abs/math/0001096
dc.identifierhttp://arxiv.org/abs/math/0001096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58542
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subjectQuantum Algebra
dc.titleAn Algebraic Duality Theory for Multiplicative Unitaries
dc.typetext

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