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H *-algebra (Definition)

Definition 0.1. An H ∗-algebra is defined as a Hilbert space 𝔸H equipped with an associative unital algebra structure and an antilinear involution ∗ : 𝔸 H → 𝔸H which is compatible with taking the adjoint of the operators on the Hilbert space for the left and right multiplication of 𝔸H with itself (ref. [1]).

References

[1]   Baez, J. 2007. Groupoidification. (Preprint)


"H *-algebra" is owned by bci1.
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Other names:  `groupoidification'
Keywords:  H *-algebra, groupoidification, Hilbert space

Cross-references: operators, Hilbert space
There is 1 reference to this object.

This is version 2 of H *-algebra, born on 2009-01-26, modified 2009-01-26.
Object id is 432, canonical name is HAlgebra.
Accessed 2581 times total.

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