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arXiv · 1412.1721

On discretization of C*-algebras

Chris Heunen·Manuel L. Reyes
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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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Chris Heunen, Manuel L. Reyes. 2016-08-04. On discretization of C*-algebras. https://arxiv.org/abs/1412.1721

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