Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (5): 1-7.

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Local AT-algebras and Their Properties(English)

YAO Hong-liang1,2   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200062, China 2. School of Science, Nanjing University of Science and Technology, Nanjing 210014, China
  • Received:2005-04-25 Revised:2005-12-20 Online:2006-09-25 Published:2012-11-27

Abstract: This paper introduced the concept of a local AT-algebra and proved that a C*- algebra is a local AT-algebra if and only if it is an AT-algebra. Properties of AT-algebra conerning their semigroups formed by the equivalence classes of projections were studied.

Key words: AT-algebra, AT-algebra, extension  ,

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