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math.OA2004★ 31 cited
On quantales that classify C*-algebras
David Kruml, Pedro Resende
The functor Max of Mulvey assigns to each unital C*-algebra A the unital involutive quantale Max A of closed linear subspaces of A, and it has been remarked that it classifies unit…
math.OA2002★ 7 cited
On quantales and spectra of C*-algebras
David Kruml, Joan Wick Pelletier, Pedro Resende +1
We study properties of the quantale spectrum Max A of an arbitrary unital C*-algebra A. In particular we show that the spatialization of Max A with respect to one of the notions of…