Displaying similar documents to “On the cyclic homology of ringed spaces and schemes.”

A note on product structures on Hochschild homology of schemes

Abhishek Banerjee (2011)

Colloquium Mathematicae

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We extend the definition of Hochschild and cyclic homologies of a scheme over a commutative ring k to define the Hochschild homologies HH⁎(X/S) and cyclic homologies HC⁎(X/S) of a scheme X with respect to an arbitrary base scheme S. Our main purpose is to study product structures on the Hochschild homology groups HH⁎(X/S). In particular, we show that H H ( X / S ) = n H H ( X / S ) carries the structure of a graded algebra.