The Maximal C*-Algebra of Quotients as an Operator Bimodule

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We establish a description of the maximal C*-algebra of quotients of a unital C*-algebra $A$ as a direct limit of spaces of completely bounded bimodule homomorphisms from certain operator submodules of the Haagerup tensor product $A\otimes_h A$ labelled by the essential closed right ideals of $A$ into $A$. In addition the invariance of the construction of the maximal C*-algebra of quotients under strong Morita equivalence is proved.
8 pages; submitted

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Operator Algebras, Functional Analysis, 46L05; 16 D90; 46A13; 46H25; 46L07; 47L25

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http://salesiana.dossiersoluciones.com/handle/123456789/171489

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.2500
 http://arxiv.org/abs/0810.2500

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arXiv