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Alternative proof of the Hochschild triviality theorem for a connected locally compact group - MaRDI portal

Alternative proof of the Hochschild triviality theorem for a connected locally compact group (Q455566)

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scientific article; zbMATH DE number 6097074
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Alternative proof of the Hochschild triviality theorem for a connected locally compact group
scientific article; zbMATH DE number 6097074

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    Alternative proof of the Hochschild triviality theorem for a connected locally compact group (English)
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    22 October 2012
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    For a locally compact group \(G\), the \textit{Hochschild kernel} \(\text{urk}(G)\) is the intersection of all kernels of continuous finite-dimensional representations of \(G\). The author of the paper under review gives a direct description of \(\text{urk}(G)\) for an arbitrary connected Lie group \(G\) and gives a new approach to a key equivalence in a Hochschild type description of \(\text{urk}(G)\) for an arbitrary connected locally compact group \(G\).
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    locally compact group
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    group representation
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    Lie group
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