This is an announcement for the paper "Non-commutative Khintchine type inequalities associated with free groups" by Javier Parcet and Gilles Pisier. Abstract: Let Fn denote the free group with n generators g1,g2,..,gn. Let $\lambda$ stand for the left regular representation of Fn and let $\tau$ be the standard trace associated to $\lambda$. Given any positive integer d, we study the operator space structure of the subspace Wp(n,d) of Lp(\tau) generated by the family of operators $\lambda(g_{i_1}g_{i_2} ... g_{i_d})$ with $1 \le i_k \le n$. Moreover, our description of this operator space holds up to a constant which does not depend on n or p, so that our result remains valid for infinitely many generators. We also consider the subspace of L_p(\tau) generated by the image under $\lambda$ of the set of reduced words of length d. Our result extends to any exponent $1 \le p \le \infty$ a previous result of Buchholz for the space $W_{\infty}(n,d)$. Archive classification: Operator Algebras; Functional Analysis Mathematics Subject Classification: 46L52; 46L53 Remarks: 19 pages The source file(s), Free.tex: 71069 bytes, is(are) stored in gzipped form as 0312300.gz with size 17kb. The corresponding postcript file has gzipped size 94kb. Submitted from: javier.parcet@uam.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0312300 or http://arXiv.org/abs/math.OA/0312300 or by email in unzipped form by transmitting an empty message with subject line uget 0312300 or in gzipped form by using subject line get 0312300 to: math@arXiv.org.