Inductive limits, unique traces and tracial rank zero

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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 languageEnglish (US)
Pages (from-to)377-383
Number of pages7
JournalBulletin of the London Mathematical Society
Volume39
Issue number3
DOIs
Publication statusPublished - Jun 2007

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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