$C^{\ast }$-algebras from planar algebras I: canonical $C^{\ast }$-algebras associated to a planar algebra

Michael Hartglass, David Penneys

From a planar algebra, we give a functorial construction to produce numerous associated $C^{\ast }$-algebras. Our main construction is a Hilbert $C^{\ast }$-bimodule with a canonical real subs…