Uniform version of Weyl–von Neumann theorem

Špakula, Ján (2010) Uniform version of Weyl–von Neumann theorem. Archiv der Mathematik, 95 (2), 171-178. (doi:10.1007/s00013-010-0147-8).

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 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.

This record has no associated files available for download.

Contributors

Author: Ján Špakula

Download statistics