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, Hochschil...

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Bibliographic Details
Main Authors: Brodzki, Jacek (Author), Lykova, Zinaida A. (Author)
Format: Article
Language:English
Published: 2001-05.
Subjects:
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Online Access:Get fulltext
LEADER 00841 am a22001333u 4500
001 29847
042 |a dc 
100 1 0 |a Brodzki, Jacek  |e author 
700 1 0 |a Lykova, Zinaida A.  |e author 
245 0 0 |a Excision in cyclic type homology theories of Fréchet algebras 
260 |c 2001-05. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/29847/1/excision.pdf 
520 |a 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 
655 7 |a Article 

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