H *-algebra

(Definition)

Definition 0.1. An H ∗-algebra is defined as a Hilbert space 𝔸_H equipped with an associative unital algebra structure and an antilinear involution ^∗ : 𝔸_H → 𝔸_H which is compatible with taking the adjoint of the operators on the Hilbert space for the left and right multiplication of 𝔸_H 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
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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 2709 times total.

Classification:

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

H *-algebra

References

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