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]).


  • 1 Baez, J. 2007. http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.htmlGroupoidification. (Preprint)
Title H * -algebra
Canonical name Halgebra
Date of creation 2013-03-22 18:26:32
Last modified on 2013-03-22 18:26:32
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 7
Author bci1 (20947)
Entry type Definition
Classification msc 20G42
Classification msc 81R05
Classification msc 81R15
Classification msc 46N50
Related topic HilbertSpace
Related topic QuantumSpaceTimes
Related topic VonNeumannAlgebra
Related topic WeakHopfCAlgebra2
Related topic CategoryOfHAlgebras