On stable rank of $H^\infty$ on coverings of finite bordered Riemann surfaces

Alexander Brudnyi

doi:10.4171/rmi/1293

JournalsrmiVol. 38, No. 3pp. 1003–1012

On stable rank of $H^{\infty}$ on coverings of finite bordered Riemann surfaces

Alexander Brudnyi
University of Calgary, Canada

$On stable rank of $H^\infty$ on coverings of finite bordered Riemann surfaces cover$

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Abstract

We prove that the Bass stable rank of the algebra of bounded holomorphic functions on an unbranched covering of a finite bordered Riemann surface is equal to one.

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Alexander Brudnyi, On stable rank of $H^{\infty}$ on coverings of finite bordered Riemann surfaces. Rev. Mat. Iberoam. 38 (2022), no. 3, pp. 1003–1012

DOI 10.4171/RMI/1293