| Authors: | Nigel Higson and Mikael Rordam |
| Title: | The Weyl-von Neumann theorem for multipliers of some AF-algebras |
| Publication Information: | Canadian J. Math, 43 (1991), 322-330 |
| Abstract: | A well-known theorem theorem of Weyl and von Neumann asserts that if X is a self-adjoint operator on a separable Hilbert space, then X is unitarily equivalent to a diagonal operator, modulo compact operators. In this paper we shall prove a result about self-adjoint elements in the multiplier algebra of a simple AF algebra I with unique trace which reduces to the Weyl-von Neumann theorem in the case where I is the C*-algebra of compact operators. |