nLab
homogeneous C-star-algebra

Idea

A C*-algebra is called nn-homogeneous (or n-dimensionally homogeneous) if each irreducible C C^\star-representation of the algebra is nn-dimensional.

References

The comparison of the Artin’s theorem on characterization of Azumaya algebras and Tomiyama-Takesaki’s theorem on nn-homogeneous C *C^\ast-algebras is in chapter 9 of