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Quantum isometry groups of spectral triples associated with approximately finite-dimensional C*-algebras are shown to arise as inductive limits of quantum symmetry groups of corresponding truncated Bratteli diagrams.
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C.E. Lance, “Hilbert C ∗ C^{*} -modules. A toolkit for operator algebraists,” London Mathematical Society Lecture Note Series, 210. Cambridge University Press, Cambridge, 1995
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E. Christensen and C. Ivan, Spectral triples for AF C ∗ C^{*} -algebras and metrics on the Cantor set, J. Operator Theory 56
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P.S. Chakraborty, C ∗ C^{*} -algebra generated by projection, preprint available at arXiv:0306064
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J. Bhowmick and D. Goswami, Quantum Isometry Groups: Examples and Computations, Comm. Math. Phys. 285
2009
Closest in time.
D. Goswami, Quantum Group of Isometries in Classical and Noncommutative Geometry, Comm. Math. Phys. 285
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Closest in time.
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