BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mario Klisse DTSTART:20201116T150000Z DTEND:20201116T160000Z DTSTAMP:20260423T021154Z UID:GOBA/8 DESCRIPTION:Title: Top ological boundaries of connected graphs and Coxeter groups\nby Mario K lisse as part of Groups\, Operators\, and Banach Algebras Webinar\n\n\nAbs tract\nIn this talk we will present a method which allows to associate cer tain topological spaces with connected rooted graphs. These spaces reflect combinatorial and order theoretic properties of the underlying graph and are particularly tractable in the case of Cayley graphs of finite rank Cox eter groups. In that context we speak of the compactification and the boun dary of the Coxeter group. They have some desirable properties and nicely relate to various other important constructions such as Gromov's hyperboli c compactification\, the Higson compactification and Furstenberg boundarie s of Coxeter groups.\n\nThe study of (certain) compactifications and bound aries of groups has lots of interesting operator algebraic applications. F or instance\, they play a role in the rigidity theory of von Neumann algeb ras and are crucial in Kalantar-Kennedy's solution of the simplicity quest ion for group C*-algebras. Our construction turns out to be closely relate d to Hecke C*-/ and Hecke von Neumann algebras. These are operator algebra s associated with (Iwahori) Hecke algebras. We will discuss some implicati ons of this connection.\n LOCATION:https://researchseminars.org/talk/GOBA/8/ END:VEVENT END:VCALENDAR