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Universal Karoubi characteristic classes of nuclear C*-algebras

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The main result of this paper is the evaluation of kernels for the Chern character and the universal Karoubi classes of nuclear C*-algebras. It is shown that the kernel of the Chern character coincides with the subgroup of infinitely small elements of the K 0-group and the kernel of the universal Karoubi classes coincides with the subgroup of approximately scalar elements of the K 0-group.

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  1. Moscow State University, Moscow, Russia

    I. M. Nikonov

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  1. I. M. Nikonov
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Correspondence to I. M. Nikonov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 8, pp. 133–169, 2007.

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Nikonov, I.M. Universal Karoubi characteristic classes of nuclear C*-algebras. J Math Sci 159, 837–862 (2009). https://doi.org/10.1007/s10958-009-9476-1

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  • DOI: https://doi.org/10.1007/s10958-009-9476-1

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