A left Hilbert Algebra 
whose involution is an antilinear isometry is called a unimodular Hilbert algebra. The involution
is usually denoted 
.
Unimodular Hilbert Algebra
See also
Hilbert Algebra, Hilbert Space, Inner Product Space, Involutive Algebra, Left Hilbert Algebra, Linear Manifold, Modular Hilbert Algebra, Quasi-Hilbert Algebra, Right Hilbert Algebra, Ring, Subspace, Vector Space, von Neumann AlgebraThis entry contributed by Christopher Stover
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References
Nelson, B. "Tomita-Takesaki Theory." https://wwn.ikan3.com/6wa482r84_1kanbljfrdbqef/9cm~fqrjasq7/Tomita-Takesaki%20Theory.pdf.Referenced on Wolfram|Alpha
Unimodular Hilbert AlgebraCite this as:
Stover, Christopher. "Unimodular Hilbert Algebra." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://wwn.ikan3.com/7hz2929k26_9nqeuhigsnjcgsjpnuemse/UnimodularHilbertAlgebra.html