Group algebra of a locally compact group
TOPOLOGICAL ALGEBRA ASSOCIATED TO CONTINUOUS GROUPS
Group C^*-algebra; Convolution algebra; Reduced C*-algebra; Draft:Group algebra of a locally compact group; Stereotype group algebra; Group algebra of a topological group; Stereotypical group algebra
In functional analysis and related areas of 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.