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arXiv · 2507.17104

Nondegenerate actions on Hilbert C*-modules

Elias Katsoulis·Christopher Ramsey
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Abstract

Let X be a (right) Hilbert C*-module and let B be a C*-algebra acting on X from the left via adjointable operators. In this note we establish the equivalence of two notions of nondegeneracy for such an action of B on X. Furthermore, we explain how techniques from an earlier paper of Kim can be used to give a short proof of a recent result of Dessi, Kakariadis and Paraskevas.

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Elias Katsoulis, Christopher Ramsey. 2025-07-23. Nondegenerate actions on Hilbert C*-modules. https://arxiv.org/abs/2507.17104

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