Categorical formulation of finite-dimensional C*-algebras
<p>We develop the concept of an involution monoid, and use it to show that finite-dimensional C*-algebras are the same as special unitary †-Frobenius monoids in the category of finite-dimensional complex Hilbert spaces. This gives a new, geometrical definition of finite-dimensional C*-algebras...
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| Format: | Journal article |
| Język: | English |
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2011
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| Hasła przedmiotowe: |
| Streszczenie: | <p>We develop the concept of an involution monoid, and use it to show that finite-dimensional C*-algebras are the same as special unitary †-Frobenius monoids in the category of finite-dimensional complex Hilbert spaces. This gives a new, geometrical definition of finite-dimensional C*-algebras, contrasting with the conventional algebraic one.</p> |
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