IMPRIMITIVITY FINSLER C*-BIMODULES

R. Hassanniah, M. Amyari, M. Hassani

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.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)