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The algebra of almost periodic functions has infinite topological stable rank
Authors:Fernando Daniel Suá  rez
Institution:Department of Mathematics, University of California, Berkeley, California 94720
Abstract:We show that if $A$ is the uniform algebra of almost periodic functions, then the set $U_n(A)=\{(a_1,\dotsc,a_n)\in A^n\colon \sum _{1\leq j\leq n}Aa_j=A\}$ cannot be dense in $A^n$ for any positive integer $n$.

Keywords:Almost periodic functions  unimodulars  topological stable rank
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