Cyclic Cohomology of Corings

Mathematics – K-Theory and Homology

Scientific paper

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16 pages

Scientific paper

We define cyclic cohomology of corings over not necessarily commutative
algebras. We observe that the key fact which allows us to define this complex
is that enveloping algebra of an algebra is a para Hopf algebroid. This
observation enables us to define Hopf cyclic cohomology of corings on which
para Hopf algebroids act.

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