On local derivations in the Kadison sense
Volume 89 / 2001
Colloquium Mathematicum 89 (2001), 193-198 MSC: Primary 12H05; Secondary 13N05. DOI: 10.4064/cm89-2-4
Let $k$ be a field. We prove that any polynomial ring over $k$ is a Kadison algebra if and only if $k$ is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.