A new construction of factors of type III1

We give in this paper a new construction of factors of type III1. Under certain assumptions, we can, thanks to a result by Popa, give a complete classification for this family of factors. Although these factors are never full, we can nevertheless, in many cases, compute Connes’ τ invariant. We obtain a new example of an uncountable family of pairwise non-isomorphic factors of type III1 with the same τ invariant. © 2006 Elsevier Inc. All rights reserved