A Morita theorem for algebras of operators on Hilbert space

Details A Morita theorem for algebras of operators on Hilbert space A Morita theorem for algebras of operators on Hilbert space

1999-06-12

arxiv.org/abs/math/9906080v1

Mathematics

Operator Algebras

Scientific paper

We show that two operator algebras are strongly Morita equivalent (in the
sense of Blecher, Muhly and Paulsen) if and only if their categories of
operator modules are equivalent via completely contractive functors. Moreover,
any such functor is completely isometrically isomorphic to the Haagerup tensor
product (= interior tensor product) with a strong Morita equivalence bimodule.

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