On isometric representations of the semigroup a"currency sign+\{1}

被引:2
作者
Tepoyan, V. H. [1 ]
机构
[1] Kazan State Power Engn Univ, Kazan, Russia
来源
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2013年 / 48卷 / 02期
关键词
Invariant semigroup; inverse representation; C*-algebras; regular representation; beta-representation;
D O I
10.3103/S1068362313020040
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study isometric representations of the semigroup a"currency sign(+)\{1}. The notion of inverse representation is introduced and a complete (to within unitary equivalence) description of such representations of that semigroup is provided. A class of irreducible non-inverse representations (beta-representations of the semigroup a"currency sign(+)\{1}) is described.
引用
收藏
页码:78 / 84
页数:7
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