On the computation of spectra in free probability
Franz Lehner
Abstract
We use free probability techniques to compute borders of spectra of non hermitian operators in finite von Neumann algebras which arise as `free sums' of `simple' operators. To this end, the resolvent is analyzed with the aid of the Haagerup inequality. Concrete examples coming from reduced C*-algebras of free product groups and leading to systems of polynomial equations illustrate the approach.
Create a lesson
Related papers
Superselection theory for 2D braided quantum spin systems via Connes fusion
Gregory Faurot, Charlton Li, David Penneys et al.
A Transfinite Christensen--Pedersen Argument
Jananan Arulseelan
Toeplitz C*-algebras on radially weighted Fock spaces: commutativity and spectral representation
Khalid Bdarneh
Maximal Algebraic Ideals in Nonunital C*-Algebras
Zhichao Liu, Xin Ma
Quasidiagonal traces need not form a face
Mehdi Moradi
Cohomology of Amenable Traces
Mehdi Moradi