A Hilbert C*-module admitting no frames

Abstract

We show that every infinite-dimensional commutative unital C*-algebra has a Hilbert C*-module admitting no frames. In particular, this shows that Kasparov's stabilization theorem for countably generated Hilbert C*-modules can not be extended to arbitrary Hilbert C*-modules.Comment: Minor change. To appear in Bull. Lond. Math. So