K-theory of Equivariant Quantization
Xiang Tang, Yi-Jun Yao
TL;DR
This paper proves that equivariant K-theory remains unchanged under strict deformation quantization when a compact Lie group acts, using an equivariant version of Connes' Thom Isomorphism.
Contribution
It introduces an equivariant version of Connes' Thom Isomorphism to establish invariance of equivariant K-theory under deformation quantization.
Findings
Equivariant K-theory is invariant under strict deformation quantization.
The proof utilizes an equivariant version of Connes' Thom Isomorphism.
The result applies to actions of compact Lie groups.
Abstract
Using an equivariant version of Connes' Thom Isomorphism,w}e prove that equivariant -theory is invariant under strict deformation quantization for a compact Lie group action.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Ophthalmology and Eye Disorders · Pituitary Gland Disorders and Treatments