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Hopf-cyclic homology with contramodule coefficients

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Quantum Groups and Noncommutative Spaces

Abstract

A new class of coefficients for the Hopf-cyclic homology of module algebras and coalgebras is introduced. These coefficients, termed stable anti-Yetter-Drinfeld contramodules, are both modules and contramodules of a Hopf algebra that satisfy certain compatibility conditions.

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BrzeziƄski, T. (2011). Hopf-cyclic homology with contramodule coefficients. In: Marcolli, M., Parashar, D. (eds) Quantum Groups and Noncommutative Spaces. Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-9831-9_1

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