PlanetPhysics/H Algebra

An H $$*$$-algebra is defined as a Hilbert space $$\mathbb{A}_H$$ equipped with an associative unital algebra structure and an antilinear involution $$^*:\mathbb{A}_H \to \mathbb{A}_H$$ which is compatible with taking the adjoint of the operators on the Hilbert space for the left and right multiplication of $$\mathbb{A}_H$$ with itself (ref. ).