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First Author : Fang, XC

Affiliation of Author(s): 数理与信息工程学院

Date of Publication : 2009-01-01

Document Type : 期刊

Journal : HOUSTON JOURNAL OF MATHEMATICS

Volume: Vol.35

Issue : No.4

Page Number : 1111-1129

Translation or Not : no

Key Words : Tracial;rank;stable;rank;real;rank

Abstract : It is known that a unital separable simple C*-algebra A with tracial rank zero has stable rank one and real rank zero. In this note, we use the generalized inductive limits to construct a non-simple C*-algebra E(infinity). Then we show that the tracial ra