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Loop groups and noncommutative geometry

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OASW03 - Subfactors, K-theory and conformal field theory

I describe a way of expressing loop groups and their representation theories (the Verlinde fusion ring) in terms of spectral triples and KK-theory. The ideas come from operator algebraic conformal field theory and extend to many other conformal field theoretical models.

Co-author: Sebastiano Carpi.

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

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