Structure of locally convex quasi C*-algebras

被引：7

作者：

Bagarello, Fabio ^{[3
]}

Fragoulopoulou, Maria ^{[2
]}

Inoue, Atsushi ^{[1
]}

Trapani, Camillo ^{[3
]}

机构：

[1] Fukuoka Univ, Dept Appl Math, Fukuoka 8140180, Japan

[2] Univ Athens, Dept Math, Athens 15784, Greece

[3] Univ Palermo, Fac Ingn, Dipartimento Matemat & Applicaz, I-90128 Palermo, Italy

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2008年 / 60卷 / 02期

关键词：

quasi *-algebras; quasi-positivity; locally convex quasi C*-algebras; unbounded *-representations;

D O I：

10.2969/jmsj/06020511

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The completion of a (normed) C*-algebra A(0)[parallel to center dot parallel to(0)] with respect to a locally convex topology tau on A(0) that makes the multiplication of do separately continuous is, in general, a quasi *-algebra, and not a locally convex *-algebra [10], [15]. In this way, one is led to consideration of locally convex quasi C*-algebras, which generalize C*-algebras in the context of quasi *-algebras. Examples are given and the structure of these relatives of C*-algebras is investigated.

引用

页码：511 / 549

页数：39

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