Non-splitting in Kirchberg's Ideal-related<i>KK</i>-Theory
Non-splitting in Kirchberg's Ideal-related<i>KK</i>-Theory
A universal coefficient theorem in the setting of Kirchberg's ideal-related KK-theory was obtained in the fundamental case of a C*-algebra with one specified ideal by Bonkat 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, …