HOCHSCHILD COHOMOLOGY OF TENSOR PRODUCTS OF TOPOLOGICAL ALGEBRAS

作者：Lykova Zinaida A^*

来源：Proceedings of the Edinburgh Mathematical Society, 2010, 53: 447-470.

DOI：10.1017/S0013091508001065

• Kunneth formula
• Hochschild homology
• cyclic homology
• nuclear DF-spaces
• locally convex algebras
• nuclear Frechet algebra

We describe explicitly the continuous Hochschild and cyclic cohomology groups of certain tensor products of (circle times) over cap -algebras which are Frechet spaces or nuclear DF-spaces. To this end we establish the existence of topological isomorphisms in the Kunneth formula for the cohomology of complete nuclear DF-complexes and in the Kunneth formula for continuous Hochschild cohomology of nuclear (circle times) over cap -algebras which are Frechet spaces or DF-spaces for which all boundary maps of the standard homology complexes have closed ranges.

• 出版日期2010-6