The first motivations for studying them came from quantum field theory and operator algebras.

Examples of operator algebras which are not self-adjoint include:

Something similar is true for T and (often called a theory of duality, which began in operator algebras in the 1970s).

It also has some applications in operator algebras.

These lead naturally to the definition of C*-algebras and other operator algebras.

Consider the operator algebra of a system of N identical particles.

Herman's research specializes on mathematical physics and operator algebras.

Alain Connes is one of the leading specialists on operator algebras.

For operator algebras, there is still the additional ring structure.

It is used in operator algebra to describe directed sequences of finite dimensional algebras.