Nonsplitting in Kirchberg's ideal-related KK-theory - Mathematics > Operator AlgebrasReport as inadecuate




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Abstract: A universal coefficient theorem in the setting of Kirchberg-s ideal-relatedKK-theory was obtained in the fundamental case of a C*-algebra with onespecified ideal by Bonkat and proved there to split, unnaturally, under certainconditions. Employing certain K-theoretical information derivable from thegiven operator algebras in a way introduced here, we shall demonstrate thatBonkat-s UCT does not split in general. Related methods lead to information onthe complexity of the K-theory which must be used to classify *-isomorphismsfor purely infinite C*-algebras with one non-trivial ideal.



Author: Soren Eilers, Gunnar Restorff, Efren Ruiz

Source: https://arxiv.org/







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