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para hopf algebroids

Journal of K-Theory (1)

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Cyclic Cohomology of Corings
Bahram Rangipour
Journal:

Journal of K-Theory / Volume 4 / Issue 1 / August 2009

Published online by Cambridge University Press:

14 November 2008, pp. 193-207

Print publication:

August 2009
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We define cyclic cohomology of corings over not necessarily commutative algebras. Our method is a generalization of Hopf-cyclic cohomology obtained by replacing coalgebras and Hopf algebras with corings and para-Hopf algebroids, respectively. We also study the dual of this theory whose cyclic cohomology, in contrast with the case of algebras and coalgebras, is not trivial.