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Excision in cyclic type homology theories of Fréchet algebras

Excision in cyclic type homology theories of Fréchet algebras
Excision in cyclic type homology theories of Fréchet algebras
It is proved that every topologically pure extension of Fréchet algebras 0 [rightward arrow] I [rightward arrow] A [rightward arrow] A/I [rightward arrow] 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.I
0024-6093
283-291
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Lykova, Zinaida A.
13b18aae-7dad-41ba-949d-493dbb598cb2
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Lykova, Zinaida A.
13b18aae-7dad-41ba-949d-493dbb598cb2

Brodzki, Jacek and Lykova, Zinaida A. (2001) Excision in cyclic type homology theories of Fréchet algebras. Bulletin of the London Mathematical Society, 33 (3), 283-291.

Record type: Article

Abstract

It is proved that every topologically pure extension of Fréchet algebras 0 [rightward arrow] I [rightward arrow] A [rightward arrow] A/I [rightward arrow] 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.I

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Published date: May 2001
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Local EPrints ID: 29847
URI: http://eprints.soton.ac.uk/id/eprint/29847
ISSN: 0024-6093
PURE UUID: 96b37f36-39b6-4300-a8a0-28affe778a45
ORCID for Jacek Brodzki: ORCID iD orcid.org/0000-0002-4524-1081

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Date deposited: 11 May 2006
Last modified: 16 Mar 2024 03:24

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Author: Jacek Brodzki ORCID iD
Author: Zinaida A. Lykova

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