Obstructions to countable saturation in corona algebras

Abstract

We study the extent of countable saturation for coronas of abelian C ∗ \mathrm {C}^{*} -algebras. In particular, we show that the corona algebra of C 0 ( R n ) C_0(\mathbb {R}^n) is countably saturated if and only if n = 1 n=1 .