Algebras generated by locally nilpotent finitary skew linear groups
โ Scribed by B.A.F. Wehrfritz
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 850 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
We prove that if \(T\) is a strongly based continuous bounded representation of a locally compact abelian group \(G\) on a Banach Space \(X\), and if the spectrum of \(T\) is countable, then the Banach algebra generated by \(f(T)=\int_{G} f(g) T(g) d g\), \(f \in L^{1}(G)\), is semisimple. 1994 Acad
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.