论文信息 - Diagonalizing matrices over AW*−algebras

Diagonalizing matrices over AW*−algebras

Abstract 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*-algebras.

Chris Heunen | Manuel L. Reyes

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