Category:C*-algebras

• C*-algebra

*

• Multiplier algebra

A

• Approximately finite-dimensional C*-algebra
• Approximately finite-dimensional
• AW*-algebra

B

• Baum–Connes conjecture
• Bunce–Deddens algebra

C

• Calkin algebra
• CCR and CAR algebras
• Compact quantum group
• Completely positive map
• Continuous functional calculus
• Cuntz algebra

D

• Dirichlet algebra

E

• Enveloping von Neumann algebra
• Exact C*-algebra

G

• Gelfand representation
• Gelfand–Naimark theorem
• Gelfand–Naimark–Segal construction
• Graph C*-algebra
• Group algebra of a locally compact group

H

• Hereditary C*-subalgebra
• Hilbert C*-module

K

• K-graph C*-algebra
• Kadison–Kastler metric
• KK-theory

L

• Locally compact quantum group

N

• Naimark's problem
• Noncommutative topology
• Noncommutative torus
• Normal element
• Nuclear C*-algebra

O

• Operator K-theory

P

• Partial isometry
• Positive element
• Projectionless C*-algebra

R

• Real rank (C*-algebras)
• Russo–Dye theorem

S

• Schröder–Bernstein theorems for operator algebras
• Self-adjoint
• Sherman–Takeda theorem
• Spectral theory of normal C*-algebras
• Spectrum of a C*-algebra
• State (functional analysis)

T

• Toeplitz algebra

U

• Ultragraph C*-algebra
• Uniformly hyperfinite algebra
• Unital map
• Unitary element
• Universal C*-algebra
• Universal representation (C*-algebra)

W

• Wold's decomposition