Group algebra of a locally compact group
= Group algebra of a locally compact group
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The group algebra of a locally compact group is a mathematical construction that combines the structure of the group with the properties of a vector space over a field, typically the field of complex numbers, \\(\\mathbb\{C\}\\). \#\#\# Definition Let \\( G \\) be a locally compact group and let \\( k \\) be a field (commonly taken to be \\(\\mathbb\{C\}\\)).