English

Inductive limits, unique traces and tracial rank zero

Operator Algebras 2007-05-23 v1

Abstract

In the program to classify C^*-algebras, it is very important to find abstract conditions which are sufficient to imply that a given algebra has tracial rank zero, in the sense of Huaxin Lin. Even in the presence of a unique trace, we show that the union of the known necessary conditions is not enough.

Keywords

Cite

@article{arxiv.math/0604512,
  title  = {Inductive limits, unique traces and tracial rank zero},
  author = {Nathanial P. Brown},
  journal= {arXiv preprint arXiv:math/0604512},
  year   = {2007}
}

Comments

7 pages