Comparison between two differential graded algebras in noncommutative geometry

Authors

Partha Sarathi Chakraborty, Indian Statistical Institute, Kolkata
Satyajit Guin, Indian Institute of Technology Kanpur

Article Type

Research Article

Publication Title

Proceedings of the Indian Academy of Sciences: Mathematical Sciences

Abstract

Starting with a spectral triple, one can associate two canonical differential graded algebras (DGA) defined by Connes (Noncommutative geometry (1994) Academic Press Inc., San Diego) and Fröhlich et al. (Comm. Math. Phys.203(1) (1999) 119–184). For the classical spectral triples associated with compact Riemannian spin manifolds, both these DGAs coincide with the de-Rham DGA. Therefore, both are candidates for the noncommutative space of differential forms. Here we compare these two DGAs in a very precise sense.

DOI

10.1007/s12044-019-0467-y

Publication Date

4-1-2019

Comments

Open Access, Green

Recommended Citation

Chakraborty, Partha Sarathi and Guin, Satyajit, "Comparison between two differential graded algebras in noncommutative geometry" (2019). Journal Articles. 894.
https://digitalcommons.isical.ac.in/journal-articles/894