Diagonalizing Matrices over Aw*-algebras

نویسندگان

  • CHRIS HEUNEN
  • MANUEL L. REYES
چکیده

Every commuting set of normal matrices with entries in an AW*algebra can be simultaneously diagonalized. To establish this, a dimension theory for properly infinite projections in AW*-algebras is developed. As a consequence, passing to matrix rings is a functor on the category of AW*-

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تاریخ انتشار 2012