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# category of H $*$ -algebras

###### 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’

Defines:

groupoidification

Keywords:

$H$ *-algebras, category of $H$ *-algebras, groupoidification

Related:

HAlgebra,IndexOfCategories

Synonym:

groupoidification

Type of Math Object:

Definition

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

20G42*no label found*46N50

*no label found*18-00

*no label found*81R05

*no label found*81R15

*no label found*

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