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Journal of Functional Analysis
Article
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Journal of Functional Analysis
Article . 2014 . Peer-reviewed
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Article . 2014
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https://dx.doi.org/10.48550/ar...
Article . 2011
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K -theory of equivariant quantization

\(K\)-theory of equivariant quantization
Authors: Tang, Xiang; Yao, Yi-Jun;

K -theory of equivariant quantization

Abstract

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

Related Organizations
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
hybrid