Nonsplitting in Kirchberg's Ideal-related Kk -theory
نویسنده
چکیده
A universal coefficient theorem in the setting of Kirchberg’s ideal-related KK -theory was obtained in the fundamental case of a Calgebra with one specified ideal by Bonkat in [1] and proved there to split, unnaturally, under certain conditions. Employing certain K-theoretical information derivable from the given operator algebras in a way introduced here, we shall demonstrate that Bonkat’s UCT does not split in general. Related methods lead to information on the complexity of the K-theory which must be used to classify ∗-isomorphisms for purely infinite C-algebras with one non-trivial ideal.
منابع مشابه
On the distribution of Lachlan nonsplitting bases
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