A note on the Hochschild homology and cyclic homology of a topological algebra
type: Item
instance of: scholarly article
title: A note on the Hochschild homology and cyclic homology of a topological algebra
zbMATH Open document ID: 0785.14010
DOI: 10.1007/BF02567044
author: Reinhold Hübl
published in: Manuscripta Mathematica
publication date: 1993-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/155769
review text: The powers of an ideal form a fundamental system of neighbourhoods of 0 for a linear topology on a commutative ring. By using the induced tensor product topology the topological version of Hochschild homology and cyclic homology allows one to calculate the relative algebraic de Rham cohomology of a morphism of affine \(\mathbb{Q}\)-schemes of finite type in the sense of \textit{R. Hartshorne} [Publ. Math., Inst. Hautes Étud. Sci. 45, 5-99 (1975; Zbl 0326.14004)].
Mathematics Subject Classification ID: 14F40
Mathematics Subject Classification ID: 13J99
Mathematics Subject Classification ID: 13D03
zbMATH DE Number: 222003
zbMATH Keywords: Hochschild homology
zbMATH Keywords: cyclic homology
zbMATH Keywords: algebraic de Rham cohomology of a morphism
MaRDI profile type: Publication
cites work: Q5563439
cites work: Q3995585
cites work: On the De Rham cohomology of algebraic varieties
cites work: Traces of differential forms and Hochschild homology
cites work: Cyclic homology, comodules, and mixed complexes
cites work: Q3714169
cites work: Cyclic homology and the Lie algebra homology of matrices
cites work: Q5735274
cites work: Q3995485
cites work: Local cyclic homology
cites work: Q3667036
OpenAlex ID: W2030494109
description: scientific article; zbMATH DE number 222003