BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Keshab Chandra Bakshi (Chennai Mathematical Institute) DTSTART:20210324T113000Z DTEND:20210324T130000Z DTSTAMP:20260423T035913Z UID:WOTOA/22 DESCRIPTION:Title: O n a question of Vaughan Jones\nby Keshab Chandra Bakshi (Chennai Mathe matical Institute) as part of Webinars on Operator Theory and Operator Alg ebras\n\n\nAbstract\nGiven a subgroup H of a finite group G\, as an applic ation of famous Hall's Marriage Theorem\, we can obtain a set of coset rep resentatives which acts simultaneously as representatives of both left an d right cosets of H in G. Given a subfactor $N\\subset M$ with finite Jone s index\, M can be regarded as a left as well as a right N-module. Pimsner and Popa proved that M is finitely generated as a left (equivalently\, ri ght) N-module. About a decade back\, Vaughan Jones asked whether one can f ind a common set which acts simultaneously as a left and a right generatin g set. As a naive attempt in this direction\, we answer this question in t he affirmative for a large class of integer index subfactors. We also disc uss some applications of our results.\n LOCATION:https://researchseminars.org/talk/WOTOA/22/ END:VEVENT END:VCALENDAR