id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-1350	Castro, O. Osuna; Wagner, E.	Quantum Moment Map and Invariant Integration Theory on Quantum Spaces	2011	4	.pdf	application/pdf	2481	124	67	By an invariant integral we mean a positive linear functional h on X satisfying h(f � x) = ε(f)h(x), x ∈ X , f ∈ U . Then any *-representation π : X → L+(D) leads to a *-re- presentation π ◦ ρ : U → L+(D), and it follows easily from the Hopf algebra structure of U that adL(f)(X) := π(ρ(f(1)))X π(ρ(S(f(2)))), f ∈ U , X ∈ L+(D), (6) defines a left U-action on L+(D) turning it into a U- module *-algebra.	cache/ap-1350.pdf	txt/ap-1350.txt