Band truncation approximation for opeartors in uniform Roe algebras of discrete groups

Qin Wang  (East China Normal University)

10:40 am to 11:40 am, Mar 24th, 2015   A1510, Science Building




Abstract:

We study band truncation approximation for operators in uniform Roe algebras of countable discrete groups, which is a non-commutative analogue of uniform convergence of the Fourier series of a continuous function on the unit circle. Under conditions of certain growth rates for discrete groups, we find large classes of dense subspaces of uniform Roe algebras whose elements can be approximated in operator norm by their band truncations.

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