KK-Equivalence and Continuous Bundles of C*-Algebras
نویسنده
چکیده
A structural description is given of the separable C∗-algebras that are contractible in KK-theory or E-theory. Subsequently it is shown that two separable C∗-algebras, A and B, are KK-equivalent if and only if there is a bundle of separable C∗-algebras over [0, 1] which is piecewise trivial with no more than six points of non-triviality such that the kernel of each fiber map is KK-contractible, all fiber maps are semi-split and such that the fibers at the endpoints of the interval are A and B.
منابع مشابه
Equivalence and Continuous Bundles of C � Algebras
A structural description is given of the separable C algebras that are contractible in KK theory or E theory Subsequently it is shown that two separable C algebras A and B are KK equivalent if and only if there is a bundle of separable C algebras over which is piecewise trivial with no more than six points of non triviality such that the kernel of each ber map is KK contractible all ber maps ar...
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