On Equivariant Embedding of Hilbert C^* modules

Details On Equivariant Embedding of Hilbert C^* modules On Equivariant Embedding of Hilbert C^* modules

2007-04-02

arxiv.org/abs/0704.0110v2

Mathematics

Operator Algebras

revised substantially, by correcting a wrong argument, pointed out by an anonymous referee (thanks to him/her for this!)

Scientific paper

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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