irrational rotation algebra

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:C*-algebra
noncommutative torus
gptkbp:alsoKnownAs noncommutative torus
gptkbp:application mathematical physics
quantum mechanics
operator algebras
gptkbp:category gptkb:nuclear_C*-algebra
gptkb:simple_C*-algebra
gptkb:unital_C*-algebra
separable C*-algebra
A T-algebra
gptkbp:definedIn two unitary generators U and V
gptkbp:hasKTheory K_0 and K_1 groups
https://www.w3.org/2000/01/rdf-schema#label irrational rotation algebra
gptkbp:introduced gptkb:Marc_Rieffel
gptkbp:loveInterest UV = e^{2πiθ} VU for irrational θ
gptkbp:parameter irrational number θ
gptkbp:relatedTo noncommutative torus
rotation C*-algebra
gptkbp:studiedIn noncommutative geometry
gptkbp:bfsParent gptkb:noncommutative_tori
gptkbp:bfsLayer 7