Partial group algebra

In mathematics, a partial group algebra is an associative algebra related to the partial representations of a group.

Examples

The partial group algebra $\mathbb {C} _{\text{par}}\left(\mathbb {Z} _{4}\right)$ is isomorphic to the direct sum:[1]
$\mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus M_{2}\left(\mathbb {C} \right)\oplus M_{3}\left(\mathbb {C} \right)$

See also

Notes

R. Exel (1998)

References

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

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