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Quantum group connections
The Ahtekar-Isham C*-algebra known from Loop Quantum Gravity is the algebra
of continuous functions on the space of (generalized) connections with a
compact structure Lie group. The algebra can be constructed by some inductive
techniques from the C*-algebra of continuous functions on the group and a
family of graphs embedded in the manifold underlying the connections. We
generalize the latter construction replacing the commutative C*-algebra of
continuous functions on the group by a non-commutative C*-algebra defining a
compact quantum group.Comment: 40 pages, LaTeX2e, minor mistakes corrected, abstract slightly
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