representation of a $C_{c}(\\mathsf{G})$ *- topological algebra

Definition 0.1.

A representation of a $C_{c}({\\mathsf{G}})$ (http://planetmath.org/C_cG) topological $*$ –algebra is defined as
a continuous $*$ –morphism from $C_{c}({\\mathsf{G}})$ to $B(\\mathcal{H})$ , where ${\\mathsf{G}}$ is a topologicalgroupoid, (usually a locally compact groupoid, ${\\mathsf{G}}_{lc}$ ), $\\mathcal{H}$ is a Hilbert space,and $B(\\mathcal{H})$ is the $C^{*}$ -algebra of bounded linear operators on the Hilbert space $\\mathcal{H}$ ;of course, one considers the inductive limit (strong) topology to be defined on $C_{c}({\\mathsf{G}})$ ,and then also an operator weak topology to be defined on $B(\\mathcal{H})$ .

单词	RepresentationOfACcmathsfGTopologicalAlgebra
释义	representation of a $C_{c}(\\mathsf{G})$ - topological algebra Definition 0.1. A representation of a $C_{c}({\\mathsf{G}})$ (http://planetmath.org/C_cG) topological $$ –algebra is defined as a continuous $$ –morphism from $C_{c}({\\mathsf{G}})$ to $B(\\mathcal{H})$ , where ${\\mathsf{G}}$ is a topologicalgroupoid, (usually a locally compact groupoid, ${\\mathsf{G}}_{lc}$ ), $\\mathcal{H}$ is a Hilbert space,and $B(\\mathcal{H})$ is the $C^{}$ -algebra of bounded linear operators on the Hilbert space $\\mathcal{H}$ ;of course, one considers the inductive limit (strong) topology to be defined on $C_{c}({\\mathsf{G}})$ ,and then also an operator weak topology to be defined on $B(\\mathcal{H})$ .
随便看	MinimalUnitizationsOfAlgebrasWithAdditionalStructure minimal unitizations of algebras with additional structure MinimaxInequality minimax inequality MinimumSpanningTree minimum spanning tree MinimumWeightedPathLength minimum weighted path length MinkowskiFunctional Minkowski functional MinkowskiInequality Minkowski inequality MinkowskisConstant MinkowskiSpace Minkowski space MinkowskisTheorem MinkowskiSum Minkowski sum Minkowski’s constant Minkowski’s theorem MinorofAGraph minor (of a graph) MinorofAMatrix minor (of a matrix) MinusOneTimesAnElementIsTheAdditiveInverseInARing

representation of a Cc⁢(𝖦) *- topological algebra

Definition 0.1.

representation of a $C_{c}(\\mathsf{G})$ *- topological algebra