Complete Positivity of Rieffel's Deformation Quantization by Actions of $\mathbb{R}^d$

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dc.creatorKaschek, Daniel
dc.creatorNeumaier, Nikolai
dc.creatorWaldmann, Stefan
dc.date2008-09-12
dc.date2008-11-17
dc.date.accessioned2026-07-07T10:18:18Z
dc.date.available2026-07-07T10:18:18Z
dc.descriptionIn this paper we consider C*-algebraic deformations a la Rieffel and show that every state of the undeformed algebra can be deformed into a state of the deformed algebra in the sense of a continuous field of states. The construction is explicit and involves a convolution operator with a particular Gauss function.
dc.description17 pages. New (more precise) title and other minor changes. Final version
dc.identifierhttps://arxiv.org/abs/0809.2206
dc.identifierhttp://arxiv.org/abs/0809.2206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174145
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.subjectOperator Algebras
dc.subject53D55, 46L87, 81R60, 46L65
dc.titleComplete Positivity of Rieffel's Deformation Quantization by Actions of $\mathbb{R}^d$
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