On Equivariant Embedding of Hilbert 𝐶* Modules

Proceedings Mathematical Sciences

Debashish Goswami¹ 

[1] Stat-Math Unit, Indian Statistical Institute, 0, B.T. Road, Kolkata 00 0, India$$

关键词: Hilbert modules;    ergodic action;    equivariant triviality;    equivariant embedding.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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

【 授权许可】

Unknown