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*-algebra
In
mathematics
, and more specifically in
abstract algebra
, a
*-algebra
(or
involutive algebra
) is a mathematical structure consisting of two involutive rings and , where is commutative and has the structure of an associative algebra over . Involutive algebras generalize the idea of a number system equipped with conjugation, for example the
complex numbers
and
complex conjugation
,
matrices
over the complex numbers and
conjugate transpose
, and
linear operators
over a
Hilbert space
and
Hermitian adjoints
.
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