Borrowing W. Paravicini’s linking Banach algebra framework, based on V. Lafforgue’s definition of Morita equivalence for Banach algebras, in this talk we present different ways of putting norms on the linking algebra associated to a Banach Morita equivalence. For equivalences arising from L^p-modules, we show that there is a canonical choice of norm that recovers the usual C*-algebraic setting when p=2. If time permits, I will discuss applications of this result to L^p-operator algebras associated with étale groupoids. This is based on joint work with Yeong Chyuan Chung (Jilin University) and Zhen Wang (HangZhou Normal University).
Operator norms on linking Banach algebras Sponsored by the Simons Foundation
Operator norms on linking Banach algebras