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.

引用

页码：625 / 684

页数：60