
Let Mn be the C*-algebra of n × n complex matrices. If A is a C*-algebra, let Mn(A) denote the C*-algebra of n × nmatrices a = [aij] with entries in A. For a linear map between C*-algebras, we define the multiplicity map by A linear map Ø is said to be completely bounded if Let B(A, B), CB(A, B) denote the Banach space of bounded linear maps, the set of completely bounded maps from A to B, respectively.
General theory of \(C^*\)-algebras, General theory of von Neumann algebras, Applications of selfadjoint operator algebras to physics, separable infinite dimensional \(C^ *\)-algebra, space of bounded linear maps, irreducible representation, multiplicity map, set of completely bounded maps, non-subhomogeneous algebra
General theory of \(C^*\)-algebras, General theory of von Neumann algebras, Applications of selfadjoint operator algebras to physics, separable infinite dimensional \(C^ *\)-algebra, space of bounded linear maps, irreducible representation, multiplicity map, set of completely bounded maps, non-subhomogeneous algebra
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