TY - JOUR
AU - 허재성
DA - 2011/05
PY - 2011
UR - http://aip.scitation.org/doi/abs/10.1063/1.3582778
UR - http://hdl.handle.net/20.500.11754/36334
AB - We discuss pairs (phi, Phi) of maps, where phi is a map between C*-algebras and Phi is a phi-module map between Hilbert C*-modules, which are generalization of representations of Hilbert C*-modules. A covariant version of Stinespring's theorem for such a pair (phi, Phi) is established, and quantum stochastic processes constructed from pairs ({phi(t)}, {Phi(t)}) of families of such maps are studied. We prove that the quantum stochastic process J = {J(t)} constructed from a phi-quantum dynamical semigroup Phi = {Phi(t)} is a j-map for the quantum stochastic process j = {j(t)} constructed from the given quantum dynamical semigroup phi = {phi(t)}, and that J is covariant if the phi-quantum dynamical semigroup Phi is covariant. (C) 2011 American Institute of Physics. [doi:10.1063/1.3582778]
PB - AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
KW - Hilbert space
KW - Stochastic processes
KW - Algebras
KW - Subspaces
KW - Noncommutative field theory
TI - Quantum stochastic processes for maps on Hilbert C*-modules
IS - 5
VL - 52
T2 - JOURNAL OF MATHEMATICAL PHYSICS
ER -