Operator Algebra of Transversely Affine Foliations
نویسنده
چکیده
We establish a geometric condition that determines when a type III von Neumann algebra arises from a foliation whose holonomy becomes affine with respect to a suitable transverse coordinate system. Under such an assumption the Godbillon-Vey class of the foliation becomes trivial in contrast to the case considered in Connes’s famous theorem.
منابع مشابه
Leaves of Foliations with a Transverse Geometric Structure of Finite Type
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