A note on product structures on Hochschild homology of schemes

Abhishek Banerjee. "A note on product structures on Hochschild homology of schemes." Colloquium Mathematicae 123.2 (2011): 233-238. <http://eudml.org/doc/284141>.

@article{AbhishekBanerjee2011,
abstract = {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 $HH⁎(X/S) = ⨁ _\{n∈ ℤ\}HHₙ(X/S)$ carries the structure of a graded algebra.},
author = {Abhishek Banerjee},
journal = {Colloquium Mathematicae},
keywords = {Hochschild homology; hypercohomology},
language = {eng},
number = {2},
pages = {233-238},
title = {A note on product structures on Hochschild homology of schemes},
url = {http://eudml.org/doc/284141},
volume = {123},
year = {2011},
}

TY - JOUR
AU - Abhishek Banerjee
TI - A note on product structures on Hochschild homology of schemes
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 2
SP - 233
EP - 238
AB - 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 $HH⁎(X/S) = ⨁ _{n∈ ℤ}HHₙ(X/S)$ carries the structure of a graded algebra.
LA - eng
KW - Hochschild homology; hypercohomology
UR - http://eudml.org/doc/284141
ER -