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Morita Equivalence for Rings with Involution

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Abstract

We develop the theory of Morita equivalence for rings with involution, and we show the corresponding fundamental representation theorem. In order to allow applications to operator algebras, we work within the class of idempotent nondegenerate rings. We also prove that two commutative rings with involution are Morita *-equivalent if and only if they are *-isomorphic.

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  1. Departament de Matemàtiques, Edifici Cc, Universitat Autònoma de Barcelona, 08193, Bellaterra (Barcelona), Spain

    Pere Ara

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  1. Pere Ara
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Ara, P. Morita Equivalence for Rings with Involution. Algebras and Representation Theory 2, 227–247 (1999). https://doi.org/10.1023/A:1009958527372

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