Morita equivalence of nest algebras
Operator Algebras
2010-02-12 v1 Functional Analysis
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.
Cite
@article{arxiv.1002.2335,
title = {Morita equivalence of nest algebras},
author = {G. K. Eleftherakis},
journal= {arXiv preprint arXiv:1002.2335},
year = {2010}
}