On strong Kadison-Singer algebras

被引：0
|
作者：
Ai Ju Dong
Dong Wang
机构：
[1] Xi’an University of Arts and Science,School of Mathematics and Computer Engineering
[2] Academy of Mathematics and Systems Science,Institute of Mathematics
[3] University of New Hampshire,Department of Mathematics and Statistics
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Kadison-Singer algebra; Kadison-Singer lattice; reflexive algebra; double triangle lattice; von Neumann algebra; 47L35; 47L75; 46L10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that many Kadison-Singer algebras are maximal triangular in all algebras containing them although their definition requires the maximality taken in the class of reflexive algebras. Diagonal-trivial maximal non self-adjoint subalgebras of matrix algebras with lower dimensions are classified.
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页码：2219 / 2232
页数：13
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