H * -algebra
0.1 H *-algebra
An H -algebra is defined as a Hilbert space![]()
equipped with an associative unital algebra structure
![]()
and an antilinear involution
which is compatible
![]()
with taking the adjoint
of the operators on the Hilbert space for the left and right multiplication of with itself (ref. [1]).
References
- 1 Baez, J. 2007. http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.htmlGroupoidification.(Preprint)