Wavelet and Linear Algebra

Abstract In [4], we use equivariant functions on the space of irreducible representations
of a C∗-algebra A to develop a duality theory for Hilbert C∗-modules. Within this
framework, each Hilbert C∗-module corresponds to an operator bundle defined
over the set of all non-zero irreducible representations of A.
In this short note, we characterize the condition under which operator bundles,
regarded as Hilbert C∗-modules admit no frames.