MORITA EQUIVALENCE OF DUAL OPERATOR ALGEBRAS

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MORITA EQUIVALENCE OF DUAL OPERATOR ALGEBRAS (2008)

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by David P. Blecher , Upasana Kashyap

Citations:

9 - 3 self

BibTeX

@MISC{Blecher08moritaequivalence,
    author = {David P. Blecher and Upasana Kashyap},
    title = {MORITA EQUIVALENCE OF DUAL OPERATOR ALGEBRAS},
    year = {2008}
}

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Abstract

We consider notions of Morita equivalence appropriate to weak* closed algebras of Hilbert space operators. We obtain new variants, appropriate to the dual algebra setting, of the basic theory of strong Morita equivalence, and new nonselfadjoint analogues of aspects of Rieffel’s W∗-algebraic Morita equivalence.

Keyphrases

morita equivalence dual operator algebra morita equivalence morita equivalence appropriate new nonselfadjoint analogue weak closed algebra basic theory hilbert space operator new variant strong morita equivalence dual algebra setting

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