Universal C*-algebra of real rank zero
Operator Algebras
2007-05-23 v2
Abstract
It is well-known that every commutative separable unital C*-algebra of real rank zero is a quotient of the C*-algebra of all compex continous functions defined on the Cantor cube. We prove a non-commutative version of this result by showing that the class of all separable unital C*-algebras of real rank zero concides with the class of quotients of a certain separable unital C*-algebra of real-rank zero.
Keywords
Cite
@article{arxiv.math/9911216,
title = {Universal C*-algebra of real rank zero},
author = {Alex Chigogidze},
journal= {arXiv preprint arXiv:math/9911216},
year = {2007}
}
Comments
accepted for publication