A note on product structures on Hochschild homology of schemes
Abhishek Banerjee
Colloquium Mathematicae, Tome 122 (2011), p. 233-238 / Harvested from The Polish Digital Mathematics Library
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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 HH⁎(X/S)=⨁n∈ℤHHₙ(X/S) carries the structure of a graded algebra.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:284141 
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     year = {2011},
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Abhishek Banerjee. A note on product structures on Hochschild homology of schemes. Colloquium Mathematicae, Tome 122 (2011) pp. 233-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm123-2-7/