%0 Journal Article
%T Uniform version of Weyl-von Neumann theorem
%A Jan Spakula
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s00013-010-0147-8
%X We prove a "quantified" version of the Weyl-von Neumann theorem, more precisely, we estimate the ranks of approximants to compact operators appearing in the Voiculescu's theorem applied to commutative algebras. This allows considerable simplifications in uniform K-homology theory, namely it shows that one can represent all the uniform K-homology classes on a fixed Hilbert space with a fixed *-representation of C_0(X), for a large class of spaces X.
%U http://arxiv.org/abs/0907.2230v1