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category of H $*$ -algebras (Definition)
Definition 0.1  

The category of H $*$ -algebras is defined as the category whose objects are H $*$ -algebras and whose morphisms are *-homomorphisms between H $*$ -algebras that commute with the antilinear involution $*:\mathbb{A}_H \to \mathbb{A}_H$ .

Remark 0.1   The construction of H $*$ -algebras is sometimes called `groupoidification'




"category of H $*$ -algebras" is owned by bci1.
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See Also: H * -algebra, index of categories

Other names:  groupoidification
Also defines:  groupoidification
Keywords:  $H$ *-algebras, category of $H$ *-algebras, groupoidification
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Cross-references: involution, *-homomorphisms, morphisms, objects, category
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This is version 7 of category of H $*$ -algebras, born on 2008-09-29, modified 2009-01-26.
Object id is 11106, canonical name is CategoryOfHAlgebras.
Accessed 715 times total.

Classification:
AMS MSC81R15 (Quantum theory :: Groups and algebras in quantum theory :: Operator algebra methods)
 81R05 (Quantum theory :: Groups and algebras in quantum theory :: Finite-dimensional groups and algebras motivated by physics and their representations)
 18-00 (Category theory; homological algebra :: General reference works )
 46N50 (Functional analysis :: Miscellaneous applications of functional analysis :: Applications in quantum physics)
 20G42 (Group theory and generalizations :: Linear algebraic groups :: Quantum groups and their representations)

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