Ulam stability for some classes of C *-algebras

Source 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 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 .