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SUMMARY:I-factorial quantum torsors and Heisenberg algebras of quantized e
 nveloping type - Kenny De Commer (Vrije Universiteit Brussel)
DTSTART:20170411T130000Z
DTEND:20170411T140000Z
UID:TALK71928@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:A I-factorial quantum torsor consists of an integrable\, free 
 and ergodic action of a locally compact quantum group on a type I-factor. 
 We show how such actions admit a nice duality theory. As an example\, we c
 onsider a deformed Heisenberg algebra associated to a quantum Borel algebr
 a of a semisimple complex Lie algebra g. We show that\, endowed with a *-s
 tructure swapping the two quantum Borel algebras inside\, it allows a comp
 letion into a I-factorial quantum torsor for (an amplification of) the von
  Neumann algebraic completion of the compact form of the quantized envelop
 ing algebra of g. <br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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