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arXiv · 0705.2921

Stably isomorphic dual operator algebras

G. K Eleftherakis·V. I. Paulsen
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Abstract

We prove that two unital dual operator algebras A, B are stably isomorphic if and only if they are Delta-equivalent, if and only if they have completely isometric normal representations a, b on Hilbert spaces H, K respectively and there exists a ternary ring of operators M \subset B(H,K) such that a(A)=[M* b(B) M]^{-w^*} and b(B)=[M a(A) M*]^{-w^*}.

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G. K Eleftherakis, V. I. Paulsen. 2007-10-01. Stably isomorphic dual operator algebras. https://arxiv.org/abs/0705.2921

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