CORDIS Project
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This project focuses on the construction and classification of von Neumann algebras, particularly type III algebras relevant to quantum mechanics. It aims to address deep mathematical challenges using innovative approaches, bridging various fields such as non-commutative geometry and quantum group theory.
During his construction of a solid mathematical theory behind - the at that time completely new - quantum mechanics, von Neumann introduced his eponymous algebras to describe observable quantities.
These “von Neumann algebras” became a basic tool in various other branches of mathematics, including Lie theory (the theory of continuous symmetries), non-commutative geometry (a “quantum” version of classical differential geometry), and, surprisingly, the theory of knots, for which V.
Jones received…
UNIVERSITEIT UTRECHT
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