Toeplitz-Berezin quantization and non-commutative differential geometry

• Autorzy: Harald Upmeier
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1997
• Tom: 38
• Numer: 1
• Strony: 385-400

Daty

wydano

1997

Twórcy

autor

Harald Upmeier

• Fachbereich Mathematik, Universität Marburg, Lahnberge, 35032 Marburg, Germany

Bibliografia

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