Uniqueness theorems for maps into II1-factors and ultraproducts of matrices

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• Shanshan Hua (University of Oxford)
• Wednesday 16 July 2025, 12:10-12:30
• External.

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TGAW02 - C*-algebras: classification and dynamical constructions

Over the past few decades, the classification results for C-algebras have been built on those of morphisms. In the recent work of Carrión, Gabe, Schafhauser, Tikuisis and White, they recaptured the classification theorem for a large class of simple Z-stable C-algebras by classifying maps into such C-algebras. Following their abstract classification framework, we go beyond the range of currently existing classification results. For instance, as part of our results, uniqueness theorems for maps into II1 -factors and ultraproducts of matrices are obtained, where codomain C-algebras are either not known to admit Z-stability or are known to lack Z-stability.

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

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