A Morita equivalence for Hilbert C*-modules

• Autorzy: Maria Joiţa , Mohammad Sal Moslehian
• Języki publikacji: EN

Abstrakty

EN

We introduce a notion of Morita equivalence for Hilbert C*-modules in terms of the Morita equivalence of the algebras of compact operators on Hilbert C*-modules. We investigate the properties of the new Morita equivalence. We apply our results to study continuous actions of locally compact groups on full Hilbert C*-modules. We also present an extension of Green's theorem in the context of Hilbert C*-modules.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 46L08: C * -modules

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 209
• Numer: 1
• Strony: 11-19

Daty

wydano

2012

Twórcy

autor

Maria Joiţa

• Department of Mathematics, University of Bucharest, Bd. Regina Elisabeta nr. 4-12, Bucureşti, Romania

autor

Mohammad Sal Moslehian

• Department of Pure Mathematics, Center of Excellence in Analysis, on Algebraic Structures (CEAAS), Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran

Identyfikatory

DOI

10.4064/sm209-1-2