Ulam stability for some classes of C*-algebras

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 $\varphi :A\to B$ is approximately a ${}^{\ast }$-homomorphism then there is an actual ${}^{\ast }$-homomorphism close to $\varphi$ by a factor depending only on how far is $\varphi$ from being a ${}^{\ast }$-homomorphism and not on $A$ or $B$.

Minor additions, 15 pages

References in corpus (3)

• Perturbations of nuclear C*-algebras
• Decomposable approximations of nuclear C*-algebras
• Reduced products of UHF algebras under forcing axioms

Cited by in corpus (1)

• Corona Rigidity