Noncoherence of the multiplier algebra of the Drury-Arveson space H^2_n for n>=3

Amol Sasane

Let H_n^2 denote the Drury-Arveson Hilbert space on the unit ball B_n in C^n, and let M(H_n^2) be its multiplier algebra. We show that for n>=3, the ring M(H_n^2) is not coherent.