Definition:*-Algebra

Definition

Let $A$ be an algebra over $\C$.

Let $\ast$ be an involution on $A$.

We call $\struct {A, \ast}$ a $\ast$-algebra.

Also see

• Results about $\ast$-algebras can be found here.

Sources

• 1990: Gerard J. Murphy: C*-Algebras and Operator Theory ... (previous) ... (next): $2.1$: $C^\ast$-Algebras