Subfactors and Hadamard Matrices
Speaker:
Remus Nicoara (University of Tennessee)
Date and Time:
Thursday, November 1, 2007 - 4:30pm to 5:00pm
Location:
The Fields Institute
Abstract:
To any complex Hadamard matrix H one associates a spin model commuting square, and therefore a hyperfinite subfactor. It is an interesting question to what extent this subfactor captures the symmetries of the H. We show for instance that Dita-Haagerup matrices yield subfactors with intermediate subfactors. We also investigate other constructions of parametric families of complex Hadamard matrices.