Uniform version of Weyl-von Neumann theorem
Functional Analysis
2010-05-24 v1
Abstract
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.
Cite
@article{arxiv.0907.2230,
title = {Uniform version of Weyl-von Neumann theorem},
author = {Jan Spakula},
journal= {arXiv preprint arXiv:0907.2230},
year = {2010}
}