*-algebras, strongly Morita equivalence, linking algebra">

Surveys in Mathematics and its Applications

ISSN 1842-6298
 Volume 1 (2006), 23 - 32

ON THE LINKING ALGEBRA OF HILBERT MODULES AND MORITA EQUIVALENCE OF LOCALLY C*-ALGEBRAS

Maria Joiţa

Abstract. In this paper we introduce the notion of linking algebra of a Hilbert module over a locally C*-algebra and we extend in the context of locally C*-algebras a result of Brown, Green and Rieffel [Pacific J., 1977] which states that two C*-algebras are strongly Morita equivalent if and only if they are isomorphic with two complementary full corners of a C*-algebra.

2000 Mathematics Subject Classification: 46L08, 46L05.
Keywords: locally C*-algebras, strongly Morita equivalence, linking algebra.

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References

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Acknowledgement. This research was partially supported by grant CEEX-code PR-D11-PT00-48/2005 and partially by CNCSIS grant A1065/2006 from the Romanian Ministry of Education and Research.

Maria Joiţa
University of Bucharest,
Faculty of Chemistry, Department of Mathematics,
Bd. Regina Elisabeta, Nr. 4-12, Bucharest,
Romania.
e-mail: mjoita@fmi.unibuc.ro
http://www.geocities.com/m_joita/

http://www.utgjiu.ro/math/sma