C*-algebras are a type of algebraic structure that arises in functional analysis and are fundamental in the study of operator theory. They consist of a set of bounded linear operators on a Hilbert space, equipped with an algebraic structure that includes addition, multiplication, and taking adjoints, while satisfying specific norm conditions. This framework is crucial for understanding other advanced concepts, including hyperfinite factors, bounded linear operators, and applications in quantum field theory.
congrats on reading the definition of C*-algebras. now let's actually learn it.