Stably isomorphic dual operator algebras

Details Stably isomorphic dual operator algebras Stably isomorphic dual operator algebras

2007-05-21

arxiv.org/abs/0705.2921v2

Mathematics

Operator Algebras

Scientific paper

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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