Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590589 | Journal of Functional Analysis | 2013 | 26 Pages |
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