A gap between spectral distance and norm difference of normals in infinite dimensional unital simple AF algebras

Wenhua Qian  (East China Normal University)

10:00 am-11:00 am, September 13th, 2016   Science Building A1510

Abstract:

Whether the spectral distance of two normals can be dominated by their norm difference is an old problem in the research of operator algebras. In this talk, we will show that, there is a constant $c_0 >1$ such that in every infinite dimensional unital simple AF algebras we can find two normals $a , b$ satisfying $D_{c}(a, b) \ge c_0 \Vert a- b \Vert$.