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ArticleOriginal scientific text

Title

Toeplitz-Berezin quantization and non-commutative differential geometry

Authors 1

Affiliations

  1. Fachbereich Mathematik, Universität Marburg, Lahnberge, 35032 Marburg, Germany

Abstract

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.

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Banach Center Publications
1997/38/1
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Pages:
385-400
Main language of publication
English
Published
1997
Exact and natural sciences