Hadamard property of the Unruh state for massless fermions on Kerr spacetime : the large $a$ case

Abstract: In a paper by G\'erard, H\"afner, and Wrochna, the Unruh state for massless fermions on a Kerr spacetime was constructed and the authors showed its Hadmard property in the case of very slowly rotating black holes $\vert a\vert\ll M$. In this note, we extend this result to the full non extreme case $\vert a\vert<M$.