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Negative curvature and rigidity for von Neumann algebras

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NPCW04 - Approximation, deformation, quasification

Popa's deformation/rigidity theory led to numerous classification and structure theorems for von Neumann algebras coming from groups and their actions on measure spaces. Negative curvature phenomena like hyperbolicity have played a key role in several of these results. I will first give an introduction to von Neumann algebras and then present a number of rigidity theorems, highlighting the usage of negative curvature type concepts.

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

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