UNBOUNDED ELEMENTS AFFILIATED WITH C-STAR-ALGEBRAS AND NONCOMPACT QUANTUM GROUPS

被引：194

作者：

WORONOWICZ, SL

机构：

[1] Research Institute for Mathematical Sciences, Kyoto University, Kyoto

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 136卷 / 02期

关键词：

D O I：

10.1007/BF02100032

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The affiliation relation that allows to include unbounded elements (operators) into the C*-algebra framework is introduced, investigated and applied to the quantum group theory. The quantum deformation of (the two-fold covering of) the group of motions of Euclidean plane is constructed. A remarkable radius quantization is discovered. It is also shown that the quantum SU(1,1) group does not exist on the C*-algebra level for real value of the deformation parameter.

引用

页码：399 / 432

页数：34