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C-cG (Definition)

Class of continuous functions on a topological groupoid with compact support

Definition 0.1   $C_c(\mathsf{G})$ 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 $C_c(\mathsf{G})$.



"C-cG" is owned by bci1.

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Cross-references: quantum groupoids, concept, algebraic structure, field, topological groupoid, functions

This is version 2 of C-cG, born on 2009-01-10, modified 2009-01-31.
Object id is 362, canonical name is CCG.
Accessed 317 times total.

Classification:
Physics Classification: 03. (Quantum mechanics, field theories, and special relativity )
 03.65.Fd (Algebraic methods )
Pending Errata and Addenda
None.
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