• On Equivariant Embedding of Hilbert $C^\ast$ Modules

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/119/01/0063-0070

• Keywords

Hilbert modules; ergodic action; equivariant triviality; equivariant embedding.

• Abstract

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.

• Author Affiliations

1. Stat-Math Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata 700 108, India

• Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

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Posted on July 25, 2019