nLab C*Alg

Definition

The category whose objects are C-star algebras and whose morphisms are $C^\ast$-homomorphisms.

Properties

The universal additive split-exact and homotopy-invariant localization of $C^\ast$ at the $C^\ast$-algebra of compact operators is KK-theory. See there for more.

Related concepts

• Gelfand duality

• noncommutative topology

• homotopical structure on C*-algebras, model structure on operator algebras

  • KK-theory, E-theory

• AQFT

category: category