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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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10.1016/0045-7949(96)00101-0

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1432-1297

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Operatoralgebraic superridigity for Emphasis Typ

Authors: Bachir Bekka
Publish Date: 2007/04/04
Volume: 169, Issue: 2, Pages: 401-425
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Abstract

For n≥3 let Γ=SL n ℤ We prove the following superridigity result for Γ in the context of operator algebras Let LΓ be the von Neumann algebra generated by the left regular representation of Γ Let M be a finite factor and let UM be its unitary group Let πΓ→UM be a group homomorphism such that πΓ”=M Then either

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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. Some prime factorization results for type II 1 factors
  13. $\mathcal{C}^{2}$ surface diffeomorphisms have symbolic extensions
  14. On the weights of mod p Hilbert modular forms
  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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