Title:      Free Torus Actions and Two-Stage Spaces
Author(s):  Barry Jessup, Gregory Lupton
Author's e-mail address:    Bjessup@sciences.uottawa.ca, G.Lupton@csuohio.edu
AMS classification number:  55P62, 57S99
Other useful information:   math.AT/0309434.  To appear, Math. Proc. Camb, Philos. Soc.
Abstract:   We prove the toral rank conjecture of Halperin in some new cases.
Our results apply to certain elliptic spaces that have a
two-stage Sullivan minimal model, and are obtained by combining
new lower bounds for the dimension of the cohomology and new
upper bounds for the toral rank.  The paper
concludes with examples and suggestions for future work.