Extension of Unitary Characters from the Radical of a Connected Locally Compact Group to a One-Dimensional Pure Pseudorepresentation of the Group

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发表日期：

2024年12月1日

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A.I. Shtern

摘要

Abstract

We prove necessary and sufficient conditions that an ordinary unitary character on the radical of a connected locally compact group admits an extension to a locally bounded finally precontinuous one-dimensional pure pseudorepresentation of the group.

DOI 10.1134/S1061920824040149