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An anti-classification Theorem for von Neumann factors
by
Asger Tornquist
University of Toronto
Coauthors: Roman Sasyk
We show that there is no reasonable way to classify von Neumann factors on a separable Hilbert space by an assignment of invariants which are "countable structures", e.g. countable groups or graphs, up to isomorphism. We also show that the isomorphism relation of factors is complete analytic. In particular, it is not Borel.
Date received: April 28, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawx-17.