Summary
We prove that the only ergodic actions ofSU(2) are on Type I von Neumann algebras, using the theory developed in [8].
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Wassermann, A. Ergodic actions of compact groups on operator algebras. Invent Math 93, 309–354 (1988). https://doi.org/10.1007/BF01394336
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DOI: https://doi.org/10.1007/BF01394336