Open AccessA categorical approach to cyclic duality
Author(s) -
Gabriella Böhm,
Dragoş Ştefan
Publication year - 2012
Publication title -
journal of noncommutative geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.037
H-Index - 26
eISSN - 1661-6960
pISSN - 1661-6952
DOI - 10.4171/jncg/98
Subject(s) - functor , mathematics , duality (order theory) , categorical variable , hopf algebra , pure mathematics , algebra over a field , statistics
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.
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