Finite sums of projections in purely infinite simple C*-algebras with torsion K_0

Abstract

Assume that A is a purely infinite simple C*-algebra whose K_0 is a torsion group, namely, contains no free element. Then a positive element a in A can be written as a finite sum of projections in A if and only if either a is a projection or the norm ||a||>1.

To appear in Proceedings AMS

References in corpus (2)

• Projection decomposition in multiplier algebras
• Finite sums of projections in von Neumann algebras