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Title of Journal: Invent math

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Abbravation: Inventiones mathematicae

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Springer-Verlag

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10.1007/s12542-015-0269-1

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1432-1297

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Some prime factorization results for type IISubsc

Authors: Narutaka Ozawa Sorin Popa
Publish Date: 2003/11/25
Volume: 156, Issue: 2, Pages: 223-234
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Abstract

We prove several unique prime factorization results for tensor products of type II1 factors coming from groups that can be realized either as subgroups of hyperbolic groups or as discrete subgroups of connected Lie groups of real rank 1 In particular we show that if mathcalRoverlineotimesmathcalLmathbbF r 1overlineotimescdotcdotcdotoverlineotimesmathcalLmathbbF r m is isomorphic to a subfactor in mathcalRoverlineotimesmathcalLmathbbF s 1overlineotimescdotcdotcdotoverlineotimesmathcalLmathbbF s n for some 2≤r i s j ≤∞ then m≤n

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Other Papers In This Journal:
  1. Serre’s modularity conjecture (I)
  2. Serre’s modularity conjecture (I)
  3. Erratum to: Burniat surfaces II: secondary Burniat surfaces form three connected components of the moduli space
  4. Image of Λ -adic Galois representations modulo p
  5. Representation theory of $\mathcal{W}$-algebras
  6. The Kodaira dimension of the moduli of K3 surfaces
  7. Brownian Gibbs property for Airy line ensembles
  8. Degree formula for connective K -theory
  9. Some quantitative results in $${\mathcal {C}}^0$$ symplectic geometry
  10. Convexes divisibles IV : Structure du bord en dimension 3
  11. The classification of irreducible admissible mod p representations of a p -adic GL n
  12. $\mathcal{C}^{2}$ surface diffeomorphisms have symbolic extensions
  13. On the weights of mod p Hilbert modular forms
  14. Operator-algebraic superridigity for SL n (ℤ), n ≥3
  15. Exceptional zero formulae and a conjecture of Perrin-Riou
  16. F-singularities of pairs and Inversion of Adjunction of arbitrary codimension
  17. Knot homology via derived categories of coherent sheaves II, $\mathfrak{sl}_{m}$ case
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