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arxiv: 0704.0110 · v2 · submitted 2007-04-02 · 🧮 math.OA

On Equivariant Embedding of Hilbert C^* modules

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keywords embeddingequivarianthilbertmoduleactionadmitsalgebraarbitrary
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We prove that an arbitrary (not necessarily countably generated) Hilbert $G$-$\cla$ module on a G-C^* algebra $\cla$ admits an equivariant embedding into a trivial $G-\cla$ module, provided G is a compact Lie group and its action on $\cla$ is ergodic.

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