Generating functionals for locally compact quantum groups
Adam Skalski,
Ami Viselter
Abstract:Every symmetric generating functional of a convolution semigroup of states on a locally compact quantum group is shown to admit a dense unital * -subalgebra with core-like properties in its domain. On the other hand we prove that every normalised, symmetric, hermitian conditionally positive functional on a dense * -subalgebra of the unitisation of the universal C * -algebra of a locally compact quantum group, satisfying certain technical conditions, extends in a canonical way to a generating functional. Some c… Show more
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