Український математичний конгрес  2009
Yuriy Savchuk (Universitaet Leipzig, Leipzig, Germany) Unbounded Induced *Representations In the first part we introduce conditional expectations of a *algebra A onto a *subalgebra B and use it to define the induction procedure for *representations. Further we define the category of wellbehaved *representations for a class of group graded *algebras and develope the Mackey theory in this category. The theory applies to a large variety of examples: Weyl algebra, qdeformed enveloping algebras u_{q}(su(2)), u_{q}(su(1,1)), the Virasoro algebra, *algebras generated by dynamical systems etc.
