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Operations on Cyclic Homology, the X Complex, and a Conjecture of Deligne

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Abstract:

We prove that there is a product on the Hochschild and cyclic chain complex of a homotopy Gerstenhaber algebra. By restricting to the special case of the algebra of Hochschild cochains (the so called deformation complex), we obtain operations on cyclic homology of associative algebras.

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Received: 24 December 1996 / Accepted: 10 October 1998

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Khalkhali, M. Operations on Cyclic Homology, the X Complex, and a Conjecture of Deligne . Comm Math Phys 202, 309–323 (1999). https://doi.org/10.1007/s002200050584

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  • DOI: https://doi.org/10.1007/s002200050584

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