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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:

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Abstract characterization

Structure of C*-algebras

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Type for C*-algebras

C*-algebras and quantum field theory

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C*-algebra

Nodes93
Edges92
Triples122
Avg. degree1.98
Density0.021505
Components1

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C*-algebra

Top relations

related to References · 46
C*-algebra → Alain, Algebra, Algebraic Methods, American Mathematical Society, An, An Invitation, Arveson, Belfi, Bulletin, Characterizations, Connes, CRC Press, Dixmier, Doran, Emch, EMS PressSakai, Encyclopedia, English, Gauthier-Villars, Gulf Professional
related to Finite-dimensional C*-algebras · 12
C*-algebra → Ae, Artin, Cn, Each, Euclidean, In, K-theory, K0, More, The, This, Wedderburn
related to Commutative C*-algebras · 11
C*-algebra → Any, As, Furthermore, Hausdorff, In, Let, Such, The, The Gelfand, This, Tietze
related to C*-algebras and quantum field theory · 7
C*-algebra → C-linear, Haag, In, Kastler, Minkowski, The, This
related to C*-enveloping algebra · 7
C*-algebra → Banach, Given, In, Of, See, The, This
related to C*-algebras of compact operators · 6
C*-algebra → Concrete, Hilbert, It, Let, The, Wedderburn's
related to Self-adjoint elements · 6
C*-algebra → Elements, In, Self-adjoint, The, This, Two
related to C*-algebras of operators · 5
C*-algebra → Gelfand, Hilbert, In, Naimark, The
see also · 5
C*-algebra → Banach, Gelfand, K-theoryOperator, Naimark, Segal
related to Abstract characterization · 4
C*-algebra → Banach, Gelfand, Naimark, We

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Important terminology

-algebra -algebras algebra displaystyle space compact operators closed hilbert self-adjoint elements algebras locally quantum mechanics approximate properties continuous isbn von

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SubjectPredicateObjectConfidenceSrc
C*-algebrais aalgebra B0.90text
C*-algebrarelated to Abstract characterizationWe0.60section
C*-algebrarelated to Abstract characterizationGelfand0.60section
C*-algebrarelated to Abstract characterizationNaimark0.60section
C*-algebrarelated to Abstract characterizationBanach0.60section
C*-algebrarelated to C*-algebras and quantum field theoryIn0.60section
C*-algebrarelated to C*-algebras and quantum field theoryC-linear0.60section
C*-algebrarelated to C*-algebras and quantum field theoryThe0.60section
C*-algebrarelated to C*-algebras and quantum field theoryThis0.60section
C*-algebrarelated to C*-algebras and quantum field theoryHaag0.60section
C*-algebrarelated to C*-algebras and quantum field theoryKastler0.60section
C*-algebrarelated to C*-algebras and quantum field theoryMinkowski0.60section

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