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- W2949385514 abstract "We prove that the rational number |n/m| is an invariant of the group von Neumann algebra of the Baumslag-Solitar group BS(n,m). More precisely, if L(BS(n,m)) is isomorphic with L(BS(n',m')), then |n'/m'| = |n/m| or |m/n|. We obtain this result by associating to abelian, but not maximal abelian, subalgebras of a II_1 factor, an equivalence relation that can be of type III. In particular, we associate to L(BS(n,m)) a canonical equivalence relation of type III_|n/m|." @default.
- W2949385514 created "2019-06-27" @default.
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- W2949385514 date "2014-01-01" @default.
- W2949385514 modified "2023-09-23" @default.
- W2949385514 title "Partial classification of the Baumslag-Solitar group von Neumann algebras" @default.
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- W2949385514 doi "https://doi.org/10.4171/dm/458" @default.
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