Approximations using pure states

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• Shanshan Hua (University of Oxford)
• Thursday 03 July 2025, 16:00-16:30
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TGAW01 - Crossed products and groupoid C*-algebras

Nuclearity of C-algebras is a fundamental property in the classification program, often viewed as an internal finite-dimensional approximation property. In 2012, Matui and Sato introduced a refined finite-dimensional approximation property using pure states for simple C-algebras, which leads to a breakthrough in the remaining implication of the Toms-Winter conjecture – an important open problem in classification. The property was later generalized to non-simple C*-algebras. In this talk, we show that this property is equivalent to nuclearity and mention its relation to the classification program. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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