Inductive limits, unique traces and tracial rank zero

Nathanial P. Brown

doi:10.1112/blms/bdm007

Inductive limits, unique traces and tracial rank zero

Nathanial P. Brown

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In the program to classify C*-algebras, it is very important to find. 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.

Original language	English (US)
Pages (from-to)	377-383
Number of pages	7
Journal	Bulletin of the London Mathematical Society
Volume	39
Issue number	3
DOIs	https://doi.org/10.1112/blms/bdm007
State	Published - Jun 2007

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/blms/bdm007

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AB - In the program to classify C*-algebras, it is very important to find. 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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Inductive limits, unique traces and tracial rank zero

Abstract

All Science Journal Classification (ASJC) codes

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