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The homotopy fixed points of the circle action on Hochschild homology

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 نشر من قبل Marc Hoyois
 تاريخ النشر 2015
  مجال البحث
والبحث باللغة English
 تأليف Marc Hoyois




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We show that Connes B-operator on a cyclic differential graded k-module M is a model for the canonical circle action on the geometric realization of M. This implies that the negative cyclic homology and the periodic cyclic homology of a differential graded category can be identified with the homotopy fixed points and the Tate fixed points of the circle action on its Hochschild complex.



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