Toeplitz-Berezin quantization and non-commutative differential geometry

Tom 38 / 1997

Harald Upmeier Banach Center Publications 38 (1997), 385-400 DOI: 10.4064/-38-1-385-400

Streszczenie

In this survey article we describe how the recent work in quantization in multi-variable complex geometry (domains of holomorphy, symmetric domains, tube domains, etc.) leads to interesting results and problems in C*-algebras which can be viewed as examples of the "non-commutative geometry" in the sense of A. Connes. At the same time, one obtains new functional calculi (of pseudodifferential type) with possible applications to partial differential equations and group representations.

Autorzy

  • Harald Upmeier

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