Unbounded elements affiliated withC*-algebras and non-compact quantum groups
- 115 Downloads
The affiliation relation that allows to include unbounded elements (operators) into theC*-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 quantumSU(1, 1) group does not exist on theC*-algebra level for real value of the deformation parameter.
Unable to display preview. Download preview PDF.