BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mariusz Tobolski (University of Wrocław) DTSTART:20220420T190000Z DTEND:20220420T200000Z DTSTAMP:20260420T053532Z UID:NYC-NCG/97 DESCRIPTION:Title: Noncommutative numerable principal bundles from group actions on C*-algeb ras\nby Mariusz Tobolski (University of Wrocław) as part of Noncommut ative geometry in NYC\n\n\nAbstract\nThe notion of a compact noncommutativ e (or quantum) principal bundle\, which generalizes the Cartan compact pri ncipal bundle from topology (local triviality not assumed)\, emerged in th e literature almost 30 years ago. Recently\, the difficulty of introducing the local-triviality condition to the noncommutative realm was overcome u sing the notion of the local-triviality dimension of an action of a compac t quantum group on a unital C*-algebra. In this talk\, I will propose a de finition of a locally trivial noncommutative principal bundle in the setti ng of actions of locally compact Hausdorff groups on (possibly non-unital) C*-algebras. I will discuss various motivations and technical difficultie s that appear in the non-compact case. I will also provide some basic resu lts and examples. The key difference is that\, although the problem itself can be described in the language of C*-algebra\, one is quickly led beyon d the Gelfand-Naimark duality and to the theory of multipliers of the Pede rsen ideal.\n LOCATION:https://researchseminars.org/talk/NYC-NCG/97/ END:VEVENT END:VCALENDAR