# category of H $*$ -algebras

###### Definition 0.1.

The *category ^{} of H $\mathrm{*}$-algebras^{}* is defined as the category whose objects
are H $*$-algebras (http://planetmath.org/HAlgebra) 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’

Title | category of H $*$ -algebras |
---|---|

Canonical name | CategoryOfHalgebras |

Date of creation | 2013-03-22 18:26:45 |

Last modified on | 2013-03-22 18:26:45 |

Owner | bci1 (20947) |

Last modified by | bci1 (20947) |

Numerical id | 10 |

Author | bci1 (20947) |

Entry type | Definition |

Classification | msc 20G42 |

Classification | msc 46N50 |

Classification | msc 18-00 |

Classification | msc 81R05 |

Classification | msc 81R15 |

Synonym | groupoidification |

Related topic | HAlgebra |

Related topic | IndexOfCategories |

Defines | groupoidification |