Hochschild cohomology and perturbations of Banach algebras
作者： Iain Raeburn , Joseph L Taylor
DOI: 10.1016/0022-1236(77)90072-6
关键词: Banach *-algebra 、 Cohomology 、 Mathematics 、 Identity (mathematics) 、 Homomorphism 、 Pure mathematics 、 Multiplication 、 Operator algebra 、 Algebra
摘要: Abstract Let A and B be Banach algebras with identity let π : → a continuous homomorphism. We obtain conditions on the Hochschild cohomology of under which perturbations are similar to π. also show that if is algebra such H 2 ( , ) = 3 0, then multiplication give isomorphic . use our techniques partially answer some problems Kadison Kastler operator algebras.
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