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Noncommutative homology of some three-dimensional quantum spaces
Authors:Michel van den Bergh
Institution:(1) Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7 Rue René Descartes, 67084 Strasbourg Cedex, France
Abstract:We compute the Hochschild and cyclic homology of certain three-dimensional quantum spaces (type A algebras), introduced by Artin and Schelter. We show that the Hochschild homology is determined by the quasi-classical limit.
Keywords:Hochschild cohomology  cyclic cohomology  quantum spaces
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