PlanetPhysics/H Algebra

An H $*$-algebra is defined as a [[../NormInducedByInnerProduct/|Hilbert space]] ${𝔸}_H$ equipped with an associative unital algebra structure and an antilinear involution ${*}^{}:{𝔸}_H\to {𝔸}_H$ which is compatible with taking the adjoint of the [[../QuantumOperatorAlgebra4/|operators]] on the Hilbert space for the left and right multiplication of ${𝔸}_H$ with itself (ref. ).