Morita Equivalence of Nest Algebras

• Autores: G. K. Eleftherakis
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 113, Nº 1, 2013, págs. 83-107
• Idioma: inglés
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• Resumen

  • Let $\mathscr{N}_1$ (resp. $\mathscr{N}_2$) 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 $\mathscr{N}_1, \mathscr{N}_2$ are isomorphic if and only if $A$ and $B$ are weakly-$*$ Morita equivalent if and only if $A_0$ and $ B_0$ are strongly Morita equivalent. We characterize the nest isomorphisms which implement stable isomorphism between the corresponding nest algebras.