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Article overview
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Von Neumann Algebras and Extensions of Inverse Semigroups | | Allan P. Donsig
; Adam H. Fuller
; David R. Pitts
; | | Date: |
5 Sep 2014 | | Abstract: | In the 1970s, Feldman and Moore classified separably acting von Neumann
algebras containing Cartan MASAs using measured equivalence relations and
2-cocycles on such equivalence relations. In this paper, we give a new
classification in terms of extensions of inverse semigroups. By avoiding most
measure theory, our approach is simpler, and allows for the classification of
all Cartan pairs, even those which do not act separably. Our approach is more
algebraic in character and less point-based than that of Feldman-Moore. | | Source: | arXiv, 1409.1624 | | Services: | Forum | Review | PDF | Favorites | |
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