A note on product structures on Hochschild homology of schemes

• Autorzy: Abhishek Banerjee
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 19D55: K -theory and homology; cyclic homology and cohomology
• 18G60: Other (co)homology theories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 123
• Numer: 2
• Strony: 233-238

Daty

wydano

2011

Twórcy

autor

Abhishek Banerjee

• Department of Mathematics, Ohio State University, 231 W 18th Avenue, Columbus, OH 43210, U.S.A.

Identyfikatory

DOI

10.4064/cm123-2-7