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

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

2008-10-14

arxiv.org/abs/0810.2500v1

Mathematics

Operator Algebras

8 pages; submitted

Scientific paper

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.

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