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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2001-05.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | 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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