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Structure and classification of nuclear C*-algebras: The role of the UCT

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OASW01 - Structure of operator algebras: subfactors and fusion categories

The question whether all separable nuclear C-algebras satisfy the Universal Coefficient Theorem remains one of the most important open problems in the structure and classification theory of such algebras. It also plays an integral part in the connection between amenability and quasidiagonality. I will discuss several ways of looking at the UCT problem, and phrase a number of intermediate questions. This involves the existence of Cartan MASAS on the one hand, and certain kinds of embedding problems for strongly self-absorbing C-algebras on the other.

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

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