Spectral Triples and Generalized Crossed Products
Operator Algebras
2013-10-23 v1 Mathematical Physics
Dynamical Systems
K-Theory and Homology
math.MP
Abstract
We give a construction allowing to lift spectral triples to crossed products by Hilbert bimodules. The spectral triple one obtains is a concrete unbounded representative of the Kasparov product of the spectral triple and the Pimsner-Toeplitz extension associated to the crossed product by the Hilbert bimodule. To prove that the lifted spectral triple is the above-mentioned Kasparov product, we rely on operator--algebras and connexions.
Keywords
Cite
@article{arxiv.1310.5993,
title = {Spectral Triples and Generalized Crossed Products},
author = {Olivier Gabriel and Martin Grensing},
journal= {arXiv preprint arXiv:1310.5993},
year = {2013}
}