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Spatial representation of groups of automorphisms of von Neumann algebras with properly infinite commutant

โœ Scribed by Michael Henle


Publisher
Springer
Year
1970
Tongue
English
Weight
179 KB
Volume
19
Category
Article
ISSN
0010-3616

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Let M be a factor with separable predual and G a compact group of automorphisms of M whose action is minimal, i.e., M G$ & M=C, where M G denotes the G-fixed point subalgebra. Then every intermediate von Neumann algebra M G /N/M has the form N=M H for some closed subgroup H of G. An extension of thi