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]
$\mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus \mathbb {C} \oplus M_{2}\left(\mathbb {C} \right)\oplus M_{3}\left(\mathbb {C} \right)$

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See also

Notes

R. Exel (1998)

References

Exel, Ruy (1998). "Partial Actions of Groups and Actions of Inverse Semigroups". Proceedings of the American Mathematical Society. 126 (12): 3481–3494. doi:10.1090/S0002-9939-98-04575-4.

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