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topology > algebraic topology > K-theory > Baum-Connes conjecture
mathematical physics > string theory > K-theory > Baum-Connes conjecture
algebra > group theory > Baum-Connes conjecture

Terme préférentiel

Baum-Connes conjecture  

Définition(s)

  • In mathematics, specifically in operator K-theory, the Baum–Connes conjecture suggests a link between the K-theory of the reduced C*-algebra of a group and the K-homology of the classifying space of proper actions of that group. The conjecture sets up a correspondence between different areas of mathematics, with the K-homology of the classifying space being related to geometry, differential operator theory, and homotopy theory, while the K-theory of the group's reduced C*-algebra is a purely analytical object.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Baum%E2%80%93Connes_conjecture)

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http://data.loterre.fr/ark:/67375/PSR-Z2FKTV3H-Q

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RDF/XML TURTLE JSON-LD Date de création 07/08/2023, dernière modif. 22/08/2023