FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 8, PAGES 133-169

**Universal Karoubi's characteristic classes of nuclear
$C$*-algebras**

I. M. Nikonov

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k07/k078/k07810h.htm

Last modified: June 13, 2008