Inductive limits, unique traces and tracial rank zero

Details Inductive limits, unique traces and tracial rank zero Inductive limits, unique traces and tracial rank zero

2006-04-24

arxiv.org/abs/math/0604512v1

Mathematics

Operator Algebras

7 pages

Scientific paper

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.

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