BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Max Carter (University of Newcastle) DTSTART:20220401T010000Z DTEND:20220401T020000Z DTSTAMP:20260423T021232Z UID:SiN/39 DESCRIPTION:Title: Uni tary representations and the type I property of groups acting on trees \nby Max Carter (University of Newcastle) as part of Symmetry in Newcastle \n\n\nAbstract\nUnitary representations are a classical and useful tool fo r studying locally compact groups: motivated in part by quantum mechanics\ , they have been studied in detail since the early-mid 1900’s with much success\, and they enable group theorists to employ functional analytic te chniques in the study of locally compact groups. The algebras that unitary representations generate play an important role in not only understanding the representation theory of a locally compact group\, but also in unders tanding properties pertaining to the group itself. This talk will give a b rief introduction to some of the basics of the unitary representation theo ry of locally compact groups\, with focus placed on the associated operato r algebraic structures/properties. In particular\, `type I groups' and `CC R groups' will be the main focus. As an application\, I will discuss some current research interests in the unitary representation theory of groups acting on trees\, including work of myself on the unitary representation t heory of `scale groups’.\n LOCATION:https://researchseminars.org/talk/SiN/39/ END:VEVENT END:VCALENDAR