... slow dimension growth condition for AH algebras(and therefore, a fortiori for ASH algebras), one obtains counterexamples tothe Elliott conjecture of a particularly forceful nature, so that slow ... Rørdamboth for suggesting the search for the automorphisms of Theorem 1.2 and for several helpful discussions, Søren Eilers and Copenhagen University for theirhospitality in 2003, and George Elliott for ... positive elements of a particular form.To show that W (A) fails to be almost unperforated, it will suffice to exhibitpositive elements x, y ∈ A1such that, for all i ∈ N, for some δ>0mφ1i(x)...