Slope spectroscopy: Difference between revisions

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

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

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+A '''partial group algebra''' is an [[associative algebra]] related to the [[partial representation]]s of a [[group (mathematics)|group]].
+== Examples ==
+* The partial group algebra <math>\mathbb{C}_{\text{par}}\left(\mathbb{Z}_4\right)</math> is isomorphic to the direct sum:<ref>R. Exel (1998)</ref>
+*: <math>\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)</math>
+== See also ==
+* [[Group algebra]]
+* [[Group representation]]
+== Notes ==
+<references/>
+== References ==
+* R. Exel. ''Partial Actions of Groups and Actions of Semigroups''. Proc. Am. Math. Soc. 126 no. 12 (1998), 3481–3494.
+[[Category:Algebras]]
+[[Category:Representation theory of groups]]
+{{algebra-stub}}