On Stable Rank of ${\mathbf{H}}^{\infty }$ on Coverings of Finite Bordered Riemann Surfaces

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.

9 pages

References in corpus (2)

• Projective Freeness of Algebras of Bounded Holomorphic Functions on Infinitely Connected Domains
• Dense Stable Rank and Runge Type Approximation Theorems for ${\mathbf{H}}^{\infty }$ Maps