AT-algebras and extensions of AT-algebras

作者:Yao Hongliang*
来源:Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2010, 120(2): 199-207.
DOI:10.1007/s12044-010-0026-z

摘要

Lin and Su classified AT-algebras of real rank zero. This class includes all AT-algebras of real rank zero as well as many C*-algebras which are not stably finite. An AT-algebra often becomes an extension of an AT-algebra by an AF-algebra. In this paper, we show that there is an essential extension of an AT-algebra by an AF-algebra which is not an AT-algebra. We describe a characterization of an extension E of an AT-algebra by an AF-algebra if E is an AT-algebra.

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