Category
page 1C*-algebras
C*-algebra
In mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of a complex algebra A of continuous linear operators on a complex Hilbert space with two additional properties:
Gelfand–Naimark theorem
mathematics theorem in functional analysis
group algebra
topological algebra associated to continuous groups
Partial isometry
linear map between Hilbert spaces
state
in functional analysis, a positive linear functional of norm 1
Gelfand–Naimark–Segal construction
Connects cyclic *-representations of A and certain linear functionals on A
noncommutative torus
free unital C*-algebra generated by two generators U and V with UV=exp(iθ)VU, with θ irrational