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Compact group actions on UHF algebras obtained by folding the interval

✍ Scribed by David E Evans; Akitaka Kishimoto

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 664 KB
Volume: 98
Category: Article
ISSN: 0022-1236
DOI: 10.1016/0022-1236(91)90082-g

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Let \(G\) be a locally compact group and \(\mathrm{VN}(G)\) be the von Neumann algebra generated by the left regular representation of \(G\). Let \(\operatorname{UCB}(\hat{G})\) denote the \(C^{*}\)-subalgebra generated by operators in \(\mathrm{VN}(G)\) with compact support. When \(G\) is abelian.