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arXiv · 1601.05445

Ulam stability for some classes of C*-algebras

Paul McKenney·Alessandro Vignati
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Abstract

We prove some stability results for certain classes of C*-algebras. We prove that whenever $A$ is a finite-dimensional C*-algebra, $B$ is a C*-algebra and $\phi\colon A\to B$ is approximately a $^*$-homomorphism then there is an actual $^*$-homomorphism close to $\phi$ by a factor depending only on how far is $\phi$ from being a $^*$-homomorphism and not on $A$ or $B$.

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Paul McKenney, Alessandro Vignati. 2016-01-20. Ulam stability for some classes of C*-algebras. https://arxiv.org/abs/1601.05445

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