Smooth Connes--Thom isomorphism, cyclic homology, and equivariant quantisation
K-Theory and Homology
2019-07-23 v1 Operator Algebras
Quantum Algebra
Abstract
Using a smooth version of the Connes--Thom isomorphism in Grensing's bivariant K-theory for locally convex algebras, we prove an equivariant version of the Connes--Thom isomorphism in periodic cyclic homology. As an application, we prove that periodic cyclic homology is invariant with respect to equivariant strict deformation quantization.
Cite
@article{arxiv.1907.09051,
title = {Smooth Connes--Thom isomorphism, cyclic homology, and equivariant quantisation},
author = {Sayan Chakraborty and Xiang Tang and Yi-Jun Yao},
journal= {arXiv preprint arXiv:1907.09051},
year = {2019}
}
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31 pages