Article ID Journal Published Year Pages File Type
4590589 Journal of Functional Analysis 2013 26 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory