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PURE MATHEMATICS SEMINAR

Published on the 19 Apr 2005

Covariant representations of Hecke algebras

  1. Speaker: A/Prof. Steve Kaliszewski
  2. (Arizona State University)
  3. Date: Tuesday, 26 April 2005
  4. Time: 2:00 pm
  5. Venue: RC-4082, The Red Centre, UNSW

In this talk, I'll introduce a notion of covariant representations of Hecke algebras. In the theory of C^*-dynamical systems, this can allow the Hecke algebra to play the role of the group C^*-algebra C^*(G/H) when H is a Hecke subgroup, but not necessarily a normal subgroup,
of a discrete group G. In particular, I'll show how these covariant representations characterise the quasi-regular representations of crossed products by coactions. Time permitting, I'll also sketch how this theory applies to the problem of extending representations of subgroups.

This is a preliminary report on joint work with
Astrid an Huef and Iain Raeburn.

Enquiries to Catherine Greenhill, 9385 7105, csg@unsw.edu.au