The operator amenability of uniform algebras

2002/06/05 by Volker Runde
Mathematics · #math.FA #math.OA #msc:46H20 #msc:46H25 #msc:46J10 #msc:46J40 #msc:47L25

paper · pdf

published as Canad. Math. Bull. 46 (2003), 632-634 · 4 pages

arxiv created 2002/06/05 · arxiv updated 2009/11/30

Abstract

We prove a quantized version of a theorem by M. V. Sheinberg: A uniform algebra equipped with its canonical, i.e. minimal, operator space structure is operator amenable if and only if it is a commutative C^∗-algebra.

Related

• Residual finite dimensionality and representations of amenable operator\n algebras
• Operator spaces and residually finite-dimensional C^∗-algebras
• Uniformity in C^*-algebras
• Omitting types in operator systems
• Operator space structure and amenability for Figà-Talamanca-Herz algebras