C*-Algebras of Meta-Invariant Operators in Modules Over Cayley-Dickson Algebras

被引：0
|
作者：
Ludkovsky, Sergey V. [1 ,2 ]
机构：
[1] Moscow State Tech Univ, MIREA, Dept Appl Math, Av Vernadsky 78, Moscow 119454, Russia
[2] Univ Bretagne Sud, Lab Math Bretagne Atlantique, UMR CNRS 6205, LMBA, F-56017 Vannes, France
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2015年 / 39卷 / 05期
关键词：
Hypercomplex numbers; Cayley-Dickson algebras; Operator; Operator algebra; C*-algebra; Spectra; Spectral measure;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Algebras of meta-invariant operators in Hilbert modules over Cayley-Dickson algebras generalizing complex C*-algebras are studied. Their structural and spectral theory are investigated. For algebras of meta-invariant operators which are analogous to Gelfand-Naimark-Segal's, von Neuman's, Kaplansky's, etc. are considered. Some related theorems are proved.
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页码：625 / 684
页数：60
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