nLab separable C*-algebra

Definition

A separable $C^\ast$-algebra is a C*-algebra whose underlying Banach space is a separable topological space.

References

• Chun-Yen Chou, Notes on separability of $C^\ast$-algebras, Taiwanese Journal of mathematics, Vol 16, No 2 (2012) (web)

• George A. Elliott, Ilijas Farah, Vern Paulsen, Christian Rosendal, Andrew S. Toms, Asger Törnquist, The isomorphism relation for separable C-algebras_ (arXiv:1301.7108)