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Buildings and C*-algebras

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OASW01 - Structure of operator algebras: subfactors and fusion categories

We will give an elementary introduction to the theory of buildingsfrom a geometric point of view. Namely, we present buildings as universal coversof finite polyhedral complexes. It turns out that the combinatorial structure of these complexesgives rise to a large class of higher rank Cuntz-Krieger algebras, which K-theory can be explicitly computed.

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

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