Partial group algebra

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

## Contents

* 1 Examples
* 2 See also
* 3 Notes
* 4 References

## Examples

* The partial group algebra ℂpar(ℤ4) is isomorphic to the direct sum:[1]

ℂ⊕ℂ⊕ℂ⊕ℂ⊕ℂ⊕ℂ⊕ℂ⊕M2(ℂ)⊕M3(ℂ)

## See also

* Group ring
* Group representation

## Notes

1. ↑ 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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