Spectral Triples and Generalized Crossed Products

Olivier Gabriel; Martin Grensing

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arXiv · 1310.5993

Spectral Triples and Generalized Crossed Products

Olivier Gabriel·Martin Grensing

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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.

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BibTeX RIS

Olivier Gabriel, Martin Grensing. 2013-10-22. Spectral Triples and Generalized Crossed Products. https://arxiv.org/abs/1310.5993

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