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

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

2012-01-23

arxiv.org/abs/1201.4837v1

Mathematics

Operator Algebras

To appear in Proceedings AMS

Scientific paper

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.

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