Frontiers of Mathematics in China >

2012 , Vol. 7 >Issue 3: 449 - 458

DOI: https://doi.org/10.1007/s11464-012-0196-3

RESEARCH ARTICLE

Certain classes of C*-algebras preserved by tracial approximation

  • Qingzhai FAN , 1 ,
  • Xiaochun FANG 2
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  • 1. Institute of Mathematics, Shanghai Maritime University, Shanghai 201306, China
  • 2. Institute of Mathematics, Tongji University, Shanghai 200092, China

Received date: 06 Sep 2010

Accepted date: 13 Jan 2012

Published date: 01 Jun 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

We show that the following classes of C*-algebras in the classes Ω are inherited by simple unital C*-algebras in the classes TAΩ: (1) simple unital purely infinite C∗-algebras, (2) unital isometrically rich C*-algebras, (3) unital Riesz interpolation C*-algebras.

Key words： C*-algebras; isometrically rich C*-algebras; Riesz interpolation C*-algebras

Cite this article

Qingzhai FAN , Xiaochun FANG . Certain classes of C*-algebras preserved by tracial approximation[J]. Frontiers of Mathematics in China, 2012 , 7(3) : 449 -458 . DOI: 10.1007/s11464-012-0196-3

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