On Equivariant Embedding of Hilbert C^* modules

Debashish Goswami

On Equivariant Embedding of Hilbert C^* modules

Operator Algebras 2007-07-23 v2

Authors: Debashish Goswami

Abstract

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.

Keywords

c*-algebra hilbert modules equivariant cohomology

Cite

@article{arxiv.0704.0110,
  title  = {On Equivariant Embedding of Hilbert C^* modules},
  author = {Debashish Goswami},
  journal= {arXiv preprint arXiv:0704.0110},
  year   = {2007}
}

Comments

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

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