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36th Canadian Operator Symposium(COSy)
May 20-24, 2008
The Fields Institute
University of Toronto, Ontario, Canada

Organizers
Man-Duen Choi, George Elliott, Raphael Ponge, Andrew Toms

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Braidability
by
Claus Koestler
University of Illinois at Urbana-Champaign
Coauthors: Rolf Gohm

We introduce `braidability' as a symmetry which is intermediate to the distributional symmetries `exchangeability' and `spreadability' of noncommutative infinite random sequences. This endows the braid groups Bn with a new intrinsic (quantum) probabilistic interpretation. We show as an application that certain unitary representations of the braid group B∞ are accompanied by Jones-Temperley-Lieb algebras.

Date received: April 11, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawx-10.