504 research outputs found
Generalized Coefficients for Hopf Cyclic Cohomology
A category of coefficients for Hopf cyclic cohomology is defined. It is shown
that this category has two proper subcategories of which the smallest one is
the known category of stable anti Yetter-Drinfeld modules. The middle
subcategory is comprised of those coefficients which satisfy a generalized SAYD
condition depending on both the Hopf algebra and the (co)algebra in question.
Some examples are introduced to show that these three categories are different.
It is shown that all components of Hopf cyclic cohomology work well with the
new coefficients we have defined
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