BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sven Raum (Stockholm University) DTSTART:20200716T154500Z DTEND:20200716T163000Z DTSTAMP:20260423T022056Z UID:UKVOAS/11 DESCRIPTION:Title: C*-superrigidity\nby Sven Raum (Stockholm University) as part of UK Vi rtual operator algebras seminar\n\n\nAbstract\nA discrete group is called C*-superrigid\, if it can be recovered from its reduced group C*-algebra. This notation parallels W*-superrigidty for von Neumann algebras. Motivate d by Higman's unit conjecture for complex group rings\, one can ask whethe r every torsion-free group is C*-superrigid. Surprisingly until 2017 the o nly known examples of torsion-free C*-superrigid groups were abelian.\nIn this talk\, I will introduce you to the concept and motivation of C*-super rigidity. Subsequently\, I will describe developments around this topic si nce 2017\, and exemplify relevant ideas through my joint work with Caleb E ckhardt\, which shows that all finitely generated\, torsion-free\, 2-step nilpotent groups are C*-superrigid. I will end the talk by sharing my pers pective on the future of the topic.\n\nAssumed Knowledge: Basics of operat or algebras.\n LOCATION:https://researchseminars.org/talk/UKVOAS/11/ END:VEVENT END:VCALENDAR