On hyperfinite factors of type III0 and Krieger's factors |
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Authors: | A Connes |
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Institution: | 13, rue André Rabier Deuil-La Barre (95170) France |
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Abstract: | A factor M is the cross product of an abelian von Neumann algebra by a single automorphism iff there exists an increasing sequence of normal conditional expectations of M onto finite-dimensional subalgebras Nk with (U Nk)? = M. Assuming the uniqueness of the hyperfinite factor of type II∞, we prove then that any hyperfinite factor of type III0 is the cross product of an abelian von Neumann algebra by a single automorphism. |
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