Equivalence of two approaches to Yang–Mills on noncommutative torus
Partha Sarathi Chakraborty
The Institute of Mathematical Sciences, Chennai, IndiaSatyajit Guin
The Institute of Mathematical Sciences, Chennai, India
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Abstract
There are two notions of Yang–Mills action functional in noncommutative geometry. We show that for noncommutative n-torus both these notions agree. We also prove a structure theorem on the Hermitian structure of a finitely generated projective modules over spectrally invariant subalgebras of *-algebras.
Cite this article
Partha Sarathi Chakraborty, Satyajit Guin, Equivalence of two approaches to Yang–Mills on noncommutative torus. J. Noncommut. Geom. 9 (2015), no. 2, pp. 447–471
DOI 10.4171/JNCG/197