A categorical approach to cyclic duality

G. Böhm, Dragoş Ştefan

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The aim of this paper is to provide a unifying categorical framework for the many examples of para-(co)cyclic modules arising from Hopf cyclic theory. Functoriality of the coefficients is immediate in this approach. A functor corresponding to Connes's cyclic duality is constructed. Our methods allow, in particular, to extend Hopf cyclic theory to (Hopf) bialgebroids.

Original languageEnglish
Pages (from-to)481-538
Number of pages58
JournalJournal of Noncommutative Geometry
Volume6
Issue number3
DOIs
Publication statusPublished - 2012

Fingerprint

Categorical
Duality
Functor
Module
Coefficient

Keywords

  • (co)monads
  • (Hopf) bialgebroid
  • Cyclic duality
  • Distributive laws and their (co)algebras
  • Para-(co)cyclic object

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology
  • Mathematical Physics

Cite this

A categorical approach to cyclic duality. / Böhm, G.; Ştefan, Dragoş.

In: Journal of Noncommutative Geometry, Vol. 6, No. 3, 2012, p. 481-538.

Research output: Contribution to journalArticle

Böhm, G. ; Ştefan, Dragoş. / A categorical approach to cyclic duality. In: Journal of Noncommutative Geometry. 2012 ; Vol. 6, No. 3. pp. 481-538.
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