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...

mathematics, a locally compact group is a topological group G for which the underlying topology is locally compact and Hausdorff. Locally compact groups are important...

In mathematics, the group algebra can mean either A group ring of a group over some ring. A group algebra of a locally compact group. This disambiguation...

physics, a locally compact quantum group is a relatively new C*-algebraic approach toward quantum groups that generalizes the Kac algebra, compact-quantum-group...

number theory, locally compact abelian groups are abelian groups which have a particularly convenient topology on them. For example, the group of integers (equipped...

mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space (when an element of the group is operated...

of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact...

is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which include the circle group (the...

separable locally compact groups of type I and a decomposition theorem for arbitrary representations of separable locally compact groups of type I. The...

is a topological group is discussed in greater detail in the article Group algebra of a locally compact group. Categorically, the group ring construction...