BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Eusebio Gardella DTSTART:20210111T150000Z DTEND:20210111T160000Z DTSTAMP:20260423T021215Z UID:GOBA/15 DESCRIPTION:Title: Gr oup representations on $L^p$-spaces\nby Eusebio Gardella as part of Gr oups\, Operators\, and Banach Algebras Webinar\n\n\nAbstract\nFor a given locally compact group\, we study group representations\n(by invertible iso metries) on $L^p$-spaces\, for $p \\in [1\,\\infty)$\, and the associated \nBanach algebras. For example\, the algebra associated to the left regula r \nrepresentation was first studied by Herz in the 70's\, and has receive d renewed \nattention in the past two decades. There is also a "universal" $L^p$-operator group\nalgebra. For $p=2$ one obtains the group C*-algebra s\, and the behaviour of these \nobjects for other values of p tend to exh ibit a mixture between the case p=2 and \nthe much more rigid case of $L^1 (G)$. I will give an overview of what is known and \nwhat questions remain open.\n LOCATION:https://researchseminars.org/talk/GOBA/15/ END:VEVENT END:VCALENDAR