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单词 Halgebra
释义

H * -algebra


0.1 H *-algebra

An H *-algebra is defined as a Hilbert spaceMathworldPlanetmath 𝔸H equipped with an associative unital algebra structureMathworldPlanetmath and an antilinear involutionPlanetmathPlanetmath :*𝔸H𝔸H which is compatibleMathworldPlanetmath with taking the adjointPlanetmathPlanetmath of the operators on the Hilbert space for the left and right multiplication of 𝔸H with itself (ref. [1]).

References

  • 1 Baez, J. 2007. http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.htmlGroupoidification.(Preprint)
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