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A Remark on the Deformation of GNS Representations of *-Algebras

Stefan Waldmann
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Abstract

Motivated by deformation quantization we investigate the algebraic GNS construction of *-representations of deformed *-algebras over ordered rings and compute their classical limit. The question if a GNS representation can be deformed leads to the deformation of positive linear functionals. Various physical examples from deformation quantization like the Bargmann-Fock and the Schr{ö}dinger representation as well as KMS functionals are discussed.

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BibTeXRIS

Stefan Waldmann. 2000-12-11. A Remark on the Deformation of GNS Representations of *-Algebras. https://doi.org/10.1016/s0034-4877(01)80096-3

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