Class of continuous functions on a topological groupoid with compact support

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Def.   is defined as the class of continuous functions [1] acting on a topological groupoid   with compact support, and with values in a normed space, field, or algebraic structure. In most applications it will, however, suffice to select   as a locally compact (topological) groupoid,  , support for this space of continuous functions.

Note: this concept is important for quantum theoretical applications related to quantum groupoids defined by a  .