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On the assembly map for complex semisimple quantum groups

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 نشر من قبل Christian Voigt
 تاريخ النشر 2019
  مجال البحث
والبحث باللغة English
 تأليف Christian Voigt




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We show that complex semisimple quantum groups, that is, Drinfeld doubles of $ q $-deformations of compact semisimple Lie groups, satisfy a categorical version of the Baum-Connes conjecture with trivial coefficients. This approach, based on homological algebra in triangulated categories, is compatible with the previously studied deformation picture of the assembly map, and allows us to define an assembly map with arbitrary coefficients for these quantum groups.

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