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 ∗ : 𝔸_H → 𝔸_H.

Remark 0.1. The construction of H ∗-algebras is sometimes called ‘groupoidification’

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Other names:

`groupoidification'

Keywords:

-algebras, H-algebras, `groupoidification', Hilbert space, category of H *-algebras and *-homomorphisms

Cross-references: groupoidification, commute, *-homomorphisms, category

This is version 2 of category of H *-algebras, born on 2009-01-26, modified 2009-01-26.
Object id is 431, canonical name is CategoryOfHAlgebras.
Accessed 2117 times total.

Classification:

Physics Classification:	02. (Mathematical methods in physics)
	03. (Quantum mechanics, field theories, and special relativity )

category of H *-algebras

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