Analysis on Vector Bundles over Noncommutative Tori
<p>Noncommutative geometry is the study of noncommutative algebras, especially <i>C</i><sup>*</sup>-algebras, and their geometric interpretation as topological spaces. One <i>C</i><sup>*</sup>-algebra particularly important in physics is the nonc...
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https://thesis.library.caltech.edu/11505/25/Tao_Jim_2019_thesis.pdfhttps://thesis.library.caltech.edu/11505/38/supplementary_electronic_material.zip
https://thesis.library.caltech.edu/11505/39/case_k%3D1.nb
https://thesis.library.caltech.edu/11505/40/argumentoftrace.nb
https://thesis.library.caltech.edu/11505/41/argumentoftrace_difference.nb
https://thesis.library.caltech.edu/11505/42/argumentoftrace_firstoperator.nb
https://thesis.library.caltech.edu/11505/43/argumentoftrace_secondoperator.nb
Tao, Jim (2019) Analysis on Vector Bundles over Noncommutative Tori. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/C4QF-GF45. https://resolver.caltech.edu/CaltechTHESIS:05092019-193947900 <https://resolver.caltech.edu/CaltechTHESIS:05092019-193947900>