Partial group algebra

A partial group algebra is an associative algebra related to the partial representations of a group.

Examples

• The partial group algebra Failed to parse (Missing <code>texvc</code> executable. Please see math/README to configure.): \mathbb{C}_{\text{par}}\left(\mathbb{Z}_4\right)

is isomorphic to the direct sum:

• $\mathbb{C}\oplus \mathbb{C}\oplus\mathbb{C}\oplus\mathbb{C}\oplus\mathbb{C}\oplus\mathbb{C}\oplus\mathbb{C}\oplus M_2\left(\mathbb{C}\right) \oplus M_3\left(\mathbb{C}\right)$

See also

• Group algebra
• Group representation

References

• R. Exel. Partial Actions of Groups and Actions of Semigroups. Proc. Am. Math. Soc. 126 no. 12 (1998), 3481–3494.