Morita equivalence of w*-rigged modules

2022/01/10 by Evangelos Papapetros, Papapetros, Evangelos
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2201.03678

openalex publication_date 2022/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The w^⋆-rigged modules over dual operator algebras were introduced by Blecher and Kashyap as a generalization of W^⋆-modules. In this paper, we introduce two new types of Morita equivalence between right w^⋆-rigged modules over unital dual operator algebras and we examine whether these notions imply stable isomorphism between the corresponding modules. Furthermore we investigate them in detail for the class of right w^⋆-rigged modules over nest algebras, that was characterised by G.K.Eleftherakis.

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