Tensor Products of Hilbert Modules Over Locally C ^*-Algebras

Author: Maria Joi tcedil a¹

Source: Czechoslovak Mathematical Journal, Volume 54, Number 3, September 2004 , pp. 727-737(11)

Publisher: Springer

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Abstract:

In this paper the tensor products of Hilbert modules over locally C ^*-algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert C ^*-modules are also valid in the context of Hilbert modules over locally C ^*-algebras.

Keywords: locally C *-algebras; continuous *-morphism; inverse system of Hilbert C *-modules; exterior tensor product of Hilbert modules; interior tensor product of Hilbert modules

Document Type: Research article

DOI: 10.1007/s10587-004-6421-9

Affiliations: 1: Department of Mathematics, Faculty of Chemistry, University of Bucharest, Bd. Regina Elisabeta Nr. 4–12, Bucharest, Romania, Email: mjoita@fmi.unibuc.ro

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