Noncommutative differential K-theory
by Byungdo Park, Arthur J. Parzygnat, Corbett Redden, Augusto Stoffel
Year:
2021
Publication:
Journal of Geometry and Physics, Volume 174, article id. 104446.
Abstract:
We introduce a differential extension of algebraic K-theory of an algebra using Karoubi's Chern character. In doing so, we develop a necessary theory of secondary transgression forms as well as a differential refinement of the smooth Serre--Swan correspondence. Our construction subsumes the differential K-theory of a smooth manifold when the algebra is complex-valued smooth functions.
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Brief introduction of the dida co-author(s) and relevance for dida's ML developments.
Augusto Stoffel (PhD)
Augusto studied computer engineering in Brazil and holds a PhD in mathematics (University of Notre Dame, USA) on the role of algebraic topology as a foundation of quantum field theory. At dida, he works on NLP applications, including everything from research to backend development.