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On discretization of C*-algebras

Published 4 Dec 2014 in math.OA and math.FA | (1412.1721v5)

Abstract: The C*-algebra of bounded operators on the separable infinite-dimensional Hilbert space cannot be mapped to a W*-algebra in such a way that each unital commutative C*-subalgebra C(X) factors normally through $\ell\infty(X)$. Consequently, there is no faithful functor discretizing C*-algebras to AW*-algebras, including von Neumann algebras, in this way.

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Authors (2)

  1. Chris Heunen 
  2. Manuel L. Reyes 

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