Morita equivalence of nest algebras

Details Morita equivalence of nest algebras Morita equivalence of nest algebras

2010-02-11

arxiv.org/abs/1002.2335v1

Mathematics

Operator Algebras

Scientific paper

Let N_1 (resp.N_2) be a nest A (resp. B) be the corresponding nest algebra, A_0 (resp. B_0) be the subalgebra of compact operators. We prove that the nests N_1, N_2 are isomorphic if and only if the algebras A, B are weakly-* Morita equivalent if and only if the algebras A_0, B_0 are strongly Morita equivalent. We characterize the nest isomorphisms which implement stable isomorphism between the corresponding nest algebras.

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