Open AccessEquivalence of two approaches to Yang–Mills on noncommutative torus
Author(s) -
Partha Sarathi Chakraborty,
Satyajit Guin
Publication year - 2015
Publication title -
journal of noncommutative geometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.037
H-Index - 26
eISSN - 1661-6960
pISSN - 1661-6952
DOI - 10.4171/jncg/197
Subject(s) - mathematics , noncommutative geometry , morita equivalence , torus , equivalence (formal languages) , pure mathematics , yang–mills existence and mass gap , algebra over a field , mathematical physics , gauge theory , geometry
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.
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