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Morita invariance of equivariant and Hopf-cyclic cohomology of module algebras over Hopf algebroids
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categorieshopfalgebrasalgebroidscohomologyequivarianthopf-cyclicinvariance
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abstract
We investigate the equivariant and Hopf-cyclic cohomology of module algebras over Hopf algebroids and derive their Morita invariance. For this, we use the tools developed by McCarthy for $k$-linear categories and subsequently by Kaygun and Khalkhali for a certain class of categories, called as $H$-categories, for a Hopf algebra $H$.
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