An involutive algebra is an algebra 
together with a map 
of 
into 
(a so-called involution), satisfying the following properties:
1. 
.
2. 
.
3. 
.
Involutive Algebra
This entry contributed by Mohammad Sal Moslehian
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References
Bonsall, F. F. and Duncan, J. Complete Normed Algebras. New York: Springer-Verlag, 1973.Referenced on Wolfram|Alpha
Involutive AlgebraCite this as:
Moslehian, Mohammad Sal. "Involutive Algebra." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/InvolutiveAlgebra.html