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Excision in cyclic type homology of Fréchet algebras

Lookup NU author(s): Dr Zinaida Lykova

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Abstract

It is proved that every topologically pure extension of Fréchet algebras 0 → I → A → A/I → 0 such that I is strongly H-unital has the excision property in continuous (co)homology of the following types: bar, naive-Hochschild, Hochschild, cyclic, and periodic cyclic. In particular, the property holds for every extension of Fréchet algebras such that I has a left or right bounded approximate identity.

Publication metadata

Author(s): Brodzki J, Lykova ZA

Publication type: Article

Publication status: Published

Journal: Bulletin of the London Mathematical Society

Year: 2001

Volume: 33

Issue: 3

Pages: 283-291

ISSN (print): 0024-6093

ISSN (electronic): 1469-2120

Publisher: Oxford University Press

URL: http://dx.doi.org/10.1017/S0024609301007998

DOI: 10.1017/S0024609301007998

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