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.
Original languageEnglish
Pages (from-to)227-247
JournalAlgebras and Representation Theory
Volume2
Issue number3
DOIs
Publication statusPublished - 1 Sep 1999

Keywords

  • Idempotent rings
  • Inner product
  • Morita equivalence
  • Rings with involution

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