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Deformation Quantization for Hilbert Space Actions

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Abstract:

Rieffel's theory of deformations of C*-algebras for -actions can be extended to actions of infinite-dimensional Hilbert spaces. The CCR algebra over a Hilbert space H can be exhibited in this manner as a deformation of a commutative C*-algebra of almost periodic functions on H.

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Authors and Affiliations

  1. Mathematics Department, Washington University, St. Lovis, MO 63130, USA.¶E-mail: nweaver@math.wustl.edu, , , , , , US

    Nik Weaver

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  1. Nik Weaver
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Received: 26 August 1996 / Accepted: 28 January 1997

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Weaver, N. Deformation Quantization for Hilbert Space Actions . Comm Math Phys 188, 217–232 (1997). https://doi.org/10.1007/s002200050162

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  • DOI: https://doi.org/10.1007/s002200050162

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