Regular Article
Non-perturbative Deformation Quantization of Cartan Domains

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Abstract

We construct families of non-commuting C*-algebras of "quantized functions" for bounded irreducible Hermitian symmetric spaces. For this procedure, we use algebras of Toeplitz operators defined with respect to a perturbation of the ordinary Bergman metric. We prove the deformation quantization conditions for these algebras.

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