Morita embeddings for dual operator algebras and dual operator spaces

2017/04/14 by George Eleftherakis, G. K. Eleftherakis, Eleftherakis, G. K.
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #math.OA

paper · pdf · doi:10.48550/arxiv.1704.04403

arxiv created 2017/04/14 · arxiv updated 2017/04/17

Abstract

We define a relation < for dual operator algebras. We say that B < A if there exists a projection p in A such that B and pAp are Morita equivalent in our sense. We show that < is transitive, and we investigate the following question: If A < B and B < A, then is it true that A and B are stably isomorphic? We propose an analogous relation < for dual operator spaces, and we present some properties of < in this case.

Citations

• Morita equivalence of dual operator algebras
• A Morita type equivalence for dual operator algebras

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