In mathematics, the group algebra is any of various constructions to assign to a locally compact group an operator algebra (or more generally a Banach algebra), such that representations of the algebra are related to representations of the group. As such, they are similar to the group ring associated to a discrete group.
Read more about Group Algebra: Group Algebras of Topological Groups: Cc(G), The Convolution Algebra L1(G), The Group C*-algebra C*(G), Von Neumann Algebras Associated To Groups
Famous quotes containing the words group and/or algebra:
“Jury—A group of twelve men who, having lied to the judge about their hearing, health, and business engagements, have failed to fool him.”
—H.L. (Henry Lewis)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)