QDQ vs. UCT

Wilhelm Winter

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arXiv · 1603.01493

QDQ vs. UCT

Wilhelm Winter

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Abstract

This is a survey of recent progress in the structure and classification theory of nuclear C*-algebras. In particular, I outline how the Universal Coefficient Theorem ensures a positive answer to the quasidiagonality question in the presence of faithful traces. This has strong consequences for the regularity conjecture and the classification problem for separable, simple, nuclear C*-algebras. Moreover, it entails a positive solution to Rosenberg's conjecture on quasidiagonality of reduced C*-algebras of discrete amenable groups. This note is largely based on a joint paper with Aaron Tikuisis and Stuart White.

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Wilhelm Winter. 2016-03-04. QDQ vs. UCT. https://arxiv.org/abs/1603.01493

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