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- W3202271648 abstract "Invariance properties of linear functionals and linear maps on algebras of functions on quantum homogeneous spaces are studied, in particular for the special case of expected co-ideal *-subalgebras. Several one-to-one correspondences between such invariant functionals are established. Adding a positivity condition, this yields one-to-one correspondences of invariant quantum Markov semigroups acting on expected co-ideal *-subalgebras and certain convolution semigroups of states on the underlying compact quantum group. This gives an approach to classifying invariant quantum Markov semigroups on these quantum homogeneous spaces. The generators of these semigroups are viewed as Laplace operators on these spaces." @default.
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- W3202271648 date "2021-09-28" @default.
- W3202271648 modified "2023-09-25" @default.
- W3202271648 title "Invariant Markov semigroups on quantum homogeneous spaces" @default.
- W3202271648 doi "https://doi.org/10.4171/jncg/404" @default.
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