Diagonalizing matrices over AW*-algebras
Operator Algebras
2013-03-07 v2
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.
Cite
@article{arxiv.1208.5120,
title = {Diagonalizing matrices over AW*-algebras},
author = {Chris Heunen and Manuel L. Reyes},
journal= {arXiv preprint arXiv:1208.5120},
year = {2013}
}
Comments
24 pages. Comments very welcome!