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sibani
  • Member for 5 years, 3 months
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 Notable Question
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 Popular Question
accepted
Index of a particular subfactor
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Index of a particular subfactor
No, I do not understand in any case. The definition of index to me is the dimension of $L^{2}(M)$ over $M^{G}$ module.
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Index of a particular subfactor
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Action of hyperbolic group on von Neumann algebra
So, free group case can be extended it to any hyperbolic group. I understand the free group example. Can you please explain little about how to mimic the idea for any hyperbolic group? Thanks in advance.
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Action of hyperbolic group on von Neumann algebra
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Action of hyperbolic group on von Neumann algebra
Pointwise convergence in s.o.t.
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Action of hyperbolic group on von Neumann algebra
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 Critic
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 Commentator
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On mixing and weak mixing subalgebras of finite von Neumann algebras
See this paper arxiv.org/abs/1001.0169
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On prime factors
For example all free group factors are prime @choi. One cannot write it as tensor product of two vN algebbras.
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Ultrapower of an ultrapower of von Neumann algebras
For fixed ultrafilter $\omega$, $M^{\omega}$ means ultraproduct of von Neumann algebras, please look at Sorin Popa's book on $\mathrm{II}_1$ factors.
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On mixing and weak mixing subalgebras of finite von Neumann algebras
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Ultrapower of an ultrapower of von Neumann algebras
I am talking about your 2nd comment as my definition.
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Ultrapower of an ultrapower of von Neumann algebras
added 14 characters in body
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 Peer Pressure
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Property gamma for type III factors
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Ultrapower of an ultrapower of von Neumann algebras
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