1304.7616 (Partha Sarathi Chakraborty et al.)

Equivalence of Two Approaches to Yang-Mills on Non-commutative Torus    [PDF]

Partha Sarathi Chakraborty, Satyajit Guin

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 $C^*$-algebras.

View original: http://arxiv.org/abs/1304.7616