Slope spectroscopy

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

Examples

• The partial group algebra ${ℂ}_{\text{par}}\left({\mathbb{Z}}_4\right)$ is isomorphic to the direct sum:

  $ℂ\oplus ℂ\oplus ℂ\oplus ℂ\oplus ℂ\oplus ℂ\oplus ℂ\oplus M_2\left(ℂ\right)\oplus M_3\left(ℂ\right)$

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.

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