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SUMMARY:Levy–Khintchine decomposition for convolution semigroups of stat
 es - Martin Lindsay (Lancaster University)
DTSTART:20241204T111000Z
DTEND:20241204T115000Z
UID:TALK218629@talks.cam.ac.uk
DESCRIPTION:Given a convolution semigroup of states on a compact quantum g
 roup\, can its generating functional be expressed as the sum of a `gaussia
 n' generating functional and a `wholly non-gaussian' one - in short\, does
  it have a Levy-Khintchine type decomposition? A key new tool for addressi
 ng this question is the notion of approximate innerness for derivations on
  the Hopf *-algebra of the quantum group with respect to a *-algebra repre
 sentation and the counit. A satisfactory\, and positive\, answer is found 
 in the case of certain classes of q-deformed compact Lie groups.\nThe talk
  is based on joint work with Uwe Franz\, Anna Kula and Michael Skeide.
LOCATION:Seminar Room 1\, Newton Institute
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