  In this paper we introduce an analog of the tracial Rokhlin property, called
the {\emph {projection free tracial Rokhlin property}}, for $C^*$-algebras
which may not have any nontrivial projections. Using this we show that if $A$
is an infinite dimensional stably finite simple unital $C^*$-algebra with
stable rank one, with strict comparison of positive elements, with only
finitely many extreme tracial states, and with the property that every
2-quasi-trace is a trace, and if $\alpha$ is an action of a finite group $G$
with the projection free tracial Rokhlin property, then the crossed product
$C^*(G, A, \alpha)$ also has stable rank one (Except there is a mistake in
Lemma 3.16, so this is no longer proven)
