BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Rigidity results for $L^p$-operator algebras Thiel, Hannes


An $L^p$-operator algebra is a Banach algebra that admits an isometric representation on some $L^p$-space ($p$ not 2). Given such an algebra $A$, we show that it contains a unique maximal sub-C*-algebra, which we call its C*-core. The C*-core is automatically abelian, and its spectrum is naturally equipped with an inverse semigroup of partial homeomorphisms. We call the associated groupoid of germs the Weyl groupoid of $A$.

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