BIMODULES

被引：0
|
作者：
Schmudgen, Konrad [1 ]
机构：
[1] Univ Leipzig, Math Inst, Augustuspl 10-11, D-04109 Leipzig, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 09期
关键词：
Bimodule; algebra with involution; unbounded representation;
D O I：
10.1090/proc/15528
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A *-bimodule for a unital *-algebra A is an A-bimodule X which is a vector space with involution x -> x(+) satisfying (a . x . b)(+) = b(+) . x(+) . b(+) for x epsilon X and a, b epsilon A. An algebraic model for *-bimodules is given. Hilbert space representations of *-bimodules are defined and studied. A GNS-like representation theorem is obtained.
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页码：3923 / 3938
页数：16
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