THE BANACH-LIE GROUP OF LIE TRIPLE AUTOMORPHISMS OF AN H*-ALGEBRA

被引：0
|
作者：
A.J.Calderón Martín [1 ]
C.Martín González [2 ]
机构：
[1] Departamento de Matemáticas, Universidad de Cádiz
[2] Departamento de Algebra, Geometría y Topología, Universidad de Málaga
来源：
ActaMathematicaScientia | 2010年 / 30卷 / 04期
关键词：
Banach-Lie group; Lie triple automorphism; Lie triple derivation;
D O I：
暂无
中图分类号：
O152.5 [李群];
学科分类号：
070104 ;
摘要：
We study the Banach-Lie group Ltaut（A） of Lie triple automorphisms of a complex associative H*-algebra A. Some consequences about its Lie algebra, the algebra of Lie triple derivations of A, Ltder（A）, are obtained. For a topologically simple A, in the infinite-dimensional case we have Ltaut（A）0 = Aut（A） implying Ltder（A） = Der（A）. In the finite-dimensional case Ltaut（A）0 is a direct product of Aut（A） and a certain subgroup of Lie derivations δ from A to its center, annihilating commutators.
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页码：1219 / 1226
页数：8
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