25 citations · 48 across the 4 of their papers we have counts for
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Subfactors and Hadamard Matrices
Wes Camp, Remus Nicoara
To any complex Hadamard matrix H one associates a spin model commuting square, and therefore a hyperfinite subfactor. The standard invariant of this subfactor captures certain "gro…
Quantum groups and Hadamard matrices
Teodor Banica, Remus Nicoara
To any complex Hadamard matrix we associate a quantum permutation group. The correspondence is not one-to-one, but the quantum group encapsulates a number of subtle properties of t…
Orthogonal maximal abelian *-subalgebras of the 6x6 matrices
Kyle Beauchamp, Remus Nicoara
We construct new pairs of orthogonal maximal abelian -subalgebras of , by classifying all self-adjoint complex Hadamard matrices of order 6. In particular, we ex…
Continuous families of hyperfinite subfactors with the same standard invariant
Dietmar Bisch, Remus Nicoara, Sorin Popa
We construct numerous continuous families of irreducible subfactors of the hyperfinite II factor, which are non-isomorphic, but have all the same standard invariant. In particu…
A finiteness result for commuting squares of matrix algebras
Remus Nicoara
We consider a condition for non-degenerate commuting squares of matrix algebras (finite dimensional von Neumann algebras) called the \emph{span condition}, which in the case of the…