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Results tagged with rt.representation-theory
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user 161092
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
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Can a non-separable C$^*$ algebra have separable GNS Hilbert space
Suppose we have a $C^*$ algebra $\mathfrak{U}$ that is non-separable. Consider a state $ω$ of $\mathfrak{U}$ and the GNS representation $(H_ω,π_ω,Ω)$. Is it possible for $H_ω$ to be separable, and if …
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