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

Amol Sasane

arxiv: 1406.5934 · v1 · pith:6DB635LZnew · submitted 2014-06-23 · 🧮 math.FA · math.CV· math.RA

Noncoherence of the multiplier algebra of the Drury-Arveson space H²_n for n>=3

Amol Sasane This is my paper

classification 🧮 math.FA math.CVmath.RA

keywords algebradrury-arvesonmultiplierspaceballcoherentdenotehilbert

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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.

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Noncoherence of the multiplier algebra of the Drury-Arveson space H²_n for n>=3

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