Stably isomorphic dual operator algebras
Operator Algebras
2007-10-01 v2 Functional Analysis
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^*}.
Cite
@article{arxiv.0705.2921,
title = {Stably isomorphic dual operator algebras},
author = {G. K Eleftherakis and V. I. Paulsen},
journal= {arXiv preprint arXiv:0705.2921},
year = {2007}
}