The Harmonic Decomposition in Cyclic Homology

Autor:	M. Karoubi
Rok vydání:	2020
Předmět:	Statistics and Probability Pure mathematics Differential geometry Hochschild homology Mathematics::K-Theory and Homology Applied Mathematics General Mathematics Cyclic homology Homology (mathematics) Mathematics::Algebraic Topology Laplace operator Noncommutative geometry Mathematics
Zdroj:	Journal of Mathematical Sciences. 248:776-779
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-020-04911-0
Popis:	It has been shown by Cuntz and Quillen that in characteristic 0 the kernel of the square of the “noncommutative Laplacian” on the Hochschild and cyclic complexes contains the relevant homology information. In this note, we show that the same property holds for the plain kernel of this Laplacian, as in differential geometry. Using the same ideas, we define a variant of Hochschild homology and cyclic homology and show that we recover the classical definitions in characteristic 0.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::06e5caa38785a3ec28cffc5cb408d7c2 https://doi.org/10.1007/s10958-020-04911-0 Zobrazit plný text záznamu Full text from SpringerLink