0.1 Class of continuous functions on a topological groupoid with compact support
Definition 0.1. Cc(G) is defined as the class of continuous functions acting on a topological
groupoid G with compact support, and with values in a normed space, field,, or algebraic
structure. In most applications it will, however, suffice to select G as a locally compact
(topological) groupoid, Glc, support for this space of continuous functions.
Note: this concept is important for quantum theoretical applications related to quantum
groupoids defined by a Cc(G).