The following paper of Conner and Floyd does not include proofs of many theorems/ results.
'Fixed point free involution and equivariant maps , Bull. Amer. Math. Society vol 66, no. 6( 1960)'. I would also like to know where were the proofs published. I am trying to find the source containing the details of the paper for past 3 years. I would be really grateful if some one helps me in this regard.