Commutators and Linear Spans of Projections in Certain Finite C*-algebras

  • P. W. NG VICTOR KAFTAL
  • Published 2013

Abstract

Assume that A is a unital separable simple C*-algebra with real rank zero, stable rank one, strict comparison of projections, and that its tracial simplex T(A) has a finite number of extremal points. We prove that every self-adjoint element a in A with τ(a) = 0 for all τ ∈ T(A) is the sum of two commutators in A and that that every positive element of A is… (More)

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