H *-algebra

Definition 0.1   An H $ *$ -algebra is defined as a Hilbert space $ \mathbb{A}_H$ equipped with an associative unital algebra structure and an antilinear involution $ ^*:\mathbb{A}_H \to \mathbb{A}_H$ which is compatible with taking the adjoint of the operators on the Hilbert space for the left and right multiplication of $ \mathbb{A}_H$ with itself (ref. [1]).

Bibliography

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



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