IMPRIMITIVITY FINSLER C*-BIMODULES

Abstract

In this paper, we introduce the notion of Finsler C*-bimodule. We generalizesome significant properties of Hilbert C*-bimodules in the framework of Finsler C*-bimodulesand show that if E is an imprimitivity Finsler A-B-bimodule of C*-algebras A and B such that the corresponding maps A and B satisfy the parallelogram law on E, then E is aHilbert A-B-bimodule.