Local A<em>T</em>-algebras and Their Properties(English)

YAO Hong-liang

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Article Navigation > Journal of East China Normal University (Natural Sciences) > 2006 > (5): 1-7

YAO Hong-liang. Local AT-algebras and Their Properties(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 1-7.

Citation:

YAO Hong-liang. Local AT-algebras and Their Properties(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 1-7.

YAO Hong-liang. Local AT-algebras and Their Properties(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 1-7.

Citation:

YAO Hong-liang. Local AT-algebras and Their Properties(English)[J]. Journal of East China Normal University (Natural Sciences), 2006, (5): 1-7.

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Local AT-algebras and Their Properties(English)

YAO Hong-liang^1,2

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 Date: 2005-04-25
Rev Recd Date: 2005-12-20
Publish Date: 2006-09-25

Abstract

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.
- AT-algebra,
- AT-algebra,
- extension