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arXiv · 1002.2335

Morita equivalence of nest algebras

G. K. Eleftherakis
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Abstract

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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G. K. Eleftherakis. 2010-02-11. Morita equivalence of nest algebras. https://arxiv.org/abs/1002.2335

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