Tim Seo: Group C*-algebras of Heisenberg groups and C*-rigidity
Time: Tue 2022-04-19 11.00 - 12.00
Location: Kräftriket, Building 6, Room 306
Respondent: Tim Seo
Abstract: The theory of unitary representation of locally compact groups is closely related to the representation theory of the corresponding group C*-algebras. This thesis explores this relationship and the unitary representation theory of the Heisenberg groups will be worked out in detail. The representation theory of the Heisenberg groups will then be used to give a more concrete description of their corresponding group C*-algebras as C*-bundles. A driving motivation is C*-rigidity for connected, simply connected nilpotent Lie groups and the representation theory of the Heisenberg groups give concrete insight of what one might expect in the still unsolved 2-step nilpotent case.