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Spectral triples and Toeplitz operators

Result description

We give examples of spectral triples, in the sense of A. Connes, constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in Cn Cn or the star product for the Berezin?Toeplitz quantization. Our main tool is the theory of generalized Toeplitz operators on the boundary of such domains, due to Boutet de Monvel and Guillemin.

Keywords

Toeplitz operatorpseudoconvex domainspectral triple

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Spectral triples and Toeplitz operators

  • Original language description

    We give examples of spectral triples, in the sense of A. Connes, constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in Cn Cn or the star product for the Berezin?Toeplitz quantization. Our main tool is the theory of generalized Toeplitz operators on the boundary of such domains, due to Boutet de Monvel and Guillemin.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Noncommutative Geometry

  • ISSN

    1661-6952

  • e-ISSN

  • Volume of the periodical

    9

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    36

  • Pages from-to

    1041-1076

  • UT code for WoS article

    000368910600001

  • EID of the result in the Scopus database

    2-s2.0-84953410677

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2015