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1999•Journal of the American Mathematical SocietyOpen access

On the stable rank of simple C*-algebras

Jesper Villadsen

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Abstract

It is shown that there exists a simple, finite C*-algebra whose topological (or Bass) stable rank is any given natural number or $\infty$.

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What this paper is about

It is shown that there exists a simple, finite C*-algebra whose topological (or Bass) stable rank is any given natural number or $\infty$.

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OpenAlex reports 128 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

It is shown that there exists a simple, finite C*-algebra whose topological (or Bass) stable rank is any given natural number or $\infty$.

Key concepts: Mathematics, Simple (philosophy), Rank (graph theory), Bass (fish), Pure mathematics, Combinatorics, Algebra over a field, Epistemology

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