This is an announcement for the paper "The Haar system in the preduals of hyperfinite factors" by Denis Potapov and Fyodor Sukochev. Abstract: We shall present examples of Schauder bases in the preduals to the hyperfinite factors of types~$\hbox{II}_1$, $\hbox{II}_\infty$, $\hbox{III}_\lambda$, $0 < \lambda \leq 1$. In the semifinite (respectively, purely infinite) setting, these systems form Schauder bases in any associated separable symmetric space of measurable operators (respectively, in any non-commutative $L^p$-space). Archive classification: math.FA Remarks: 18 pages The source file(s), haar_III_lambda.tex: 68404 bytes, is(are) stored in gzipped form as 0808.2851.gz with size 20kb. The corresponding postcript file has gzipped size 97kb. Submitted from: denis.potapov@flinders.edu.au The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0808.2851 or http://arXiv.org/abs/0808.2851 or by email in unzipped form by transmitting an empty message with subject line uget 0808.2851 or in gzipped form by using subject line get 0808.2851 to: math@arXiv.org.