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Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
2
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Finite dimensionality of certain $C^{\star}$-algebras
This is an interesting question. The set is call multiparameter spectrum of the tuple g, it also called projective spectrum in my paper
"http://www.worldscinet.com/jta/01/0103/S1793525309000126.html" …