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approximate morphisms

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Ulam stability for some classes of C*-algebras
Part of
- Selfadjoint operator algebras
Paul McKenney, Alessandro Vignati
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 149 / Issue 1 / February 2019

Published online by Cambridge University Press:

10 April 2018, pp. 45-59

Print publication:

February 2019
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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 ϕ: A → B is approximately a *-homomorphism, there is an actual *-homomorphism close to ϕ by a factor depending only on how far ϕ is from being a *-homomorphism and not on A or B.