Physics – Mathematical Physics
Scientific paper
2008-10-16
J.Math.Phys.50:123522,2009
Physics
Mathematical Physics
40 pages, LaTeX2e, minor mistakes corrected, abstract slightly changed
Scientific paper
10.1063/1.3265923
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.
Lewandowski Jerzy
Okolow Andrzej
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