Group algebra of a locally compact group
Topological algebra associated to continuous groups / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Group algebra of a locally compact group?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
This article is about topological algebras associated to topological groups. For the purely algebraic case (without any topology), see group ring.
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.