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:
“There is nothing in the world that I loathe more than group activity, that communal bath where the hairy and slippery mix in a multiplication of mediocrity.”
—Vladimir Nabokov (18991977)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (18831955)