
arXiv: 1112.3103
Using an equivariant version of Connes' Thom Isomorphism,w}e prove that equivariant $K$-theory is invariant under strict deformation quantization for a compact Lie group action.
7 pages
Deformation quantization, star products, Mathematics - Operator Algebras, \(K\)-theory and operator algebras (including cyclic theory), Quantizations, deformations for selfadjoint operator algebras, K-Theory and Homology (math.KT), \(K\)-theory, strict deformation, Mathematics - K-Theory and Homology, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Noncommutative differential geometry, Noncommutative dynamical systems, Operator Algebras (math.OA)
Deformation quantization, star products, Mathematics - Operator Algebras, \(K\)-theory and operator algebras (including cyclic theory), Quantizations, deformations for selfadjoint operator algebras, K-Theory and Homology (math.KT), \(K\)-theory, strict deformation, Mathematics - K-Theory and Homology, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Noncommutative differential geometry, Noncommutative dynamical systems, Operator Algebras (math.OA)
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