BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David Sherman (University of Virginia) DTSTART:20220429T190000Z DTEND:20220429T200000Z DTSTAMP:20260423T024454Z UID:VCU_ALPS/24 DESCRIPTION:Title: A quantization of coarse structures and uniform Roe algebras\nby Dav id Sherman (University of Virginia) as part of VCU ALPS (Analysis\, Logic\ , and Physics Seminar)\n\n\nAbstract\nA coarse structure is a way of talki ng about "large-scale" properties. It is encoded in a family of relations that often\, but not always\, come from a metric. A coarse structure nat urally gives rise to Hilbert space operators that in turn generate a so-ca lled uniform Roe algebra.\n\nIn ongoing work with Bruno Braga and Joe Eisn er\, we use ideas of Weaver to construct "quantum" coarse structures and u niform Roe algebras in which the underlying set is replaced with an arbitr ary represented von Neumann algebra. The general theory immediately appli es to quantum metrics (suitably defined)\, but it is much richer. We expl ain another source of examples based on measure instead of metric\, leadin g to a large and easy-to-understand class of new C*-algebras.\n\nI will pr esent the big picture: where uniform Roe algebras come from\, how Weaver's framework facilitates our definitions. I will focus on a few illustrativ e examples and will not assume any familiarity with coarse structures or v on Neumann algebras.\n LOCATION:https://researchseminars.org/talk/VCU_ALPS/24/ END:VEVENT END:VCALENDAR