Hochschild cohomology of tensor products of topological algebras
2010 ◽
Vol 53
(2)
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pp. 447-470
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AbstractWe describe explicitly the continuous Hochschild and cyclic cohomology groups of certain tensor products of $\widehat{\otimes}$-algebras which are Fréchet spaces or nuclear DF-spaces. To this end we establish the existence of topological isomorphisms in the Künneth formula for the cohomology of complete nuclear DF-complexes and in the Künneth formula for continuous Hochschild cohomology of nuclear $\widehat{\otimes}$-algebras which are Fréchet spaces or DF-spaces for which all boundary maps of the standard homology complexes have closed ranges.
2018 ◽
Vol 2020
(23)
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pp. 9148-9209
Keyword(s):
2017 ◽
Vol 11
(4)
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pp. 1351-1379
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Keyword(s):
2009 ◽
Vol 52
(2)
◽
pp. 287-295
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Keyword(s):
1963 ◽
Vol 17
(1-2)
◽
pp. 51-54
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