PlanetPhysics/CCG

Class of continuous functions on a topological groupoid with compact support
Def. $$C_c(\mathsf{G})$$ is defined as the class of continuous functions acting on a topological groupoid $$\mathsf{G}$$ with compact support, and with values in a normed space, field, or algebraic structure. In most applications it will, however, suffice to select $$\mathsf{G}$$ as a locally compact (topological) groupoid, $$\mathsf{G}_{lc}$$, support for this space of continuous functions.

Note: this concept is important for quantum theoretical applications related to quantum groupoids defined by a $$C_c(\mathsf{G})$$.