Voiculescu's Theorem for Nonseparable C*-algebras

Andrea Vaccaro

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arXiv · 1811.09352

Voiculescu's Theorem for Nonseparable C*-algebras

Andrea Vaccaro

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Abstract

We prove that Voiculescu's noncommutative version of the Weyl-von Neumann theorem can be extended to all (not necessarily separable) unital, separably representable C*-algebras whose density character is strictly smaller than $\mathfrak{p}$. We show moreover that Voiculescu's theorem consistently does not generalize to C*-algebras of larger density character.

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BibTeX RIS

Andrea Vaccaro. 2018-11-23. Voiculescu's Theorem for Nonseparable C*-algebras. https://arxiv.org/abs/1811.09352

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