Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592486 | Journal of Functional Analysis | 2007 | 25 Pages |
Abstract
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.
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