Noncommutative geometry and theoretical physics

DOI10.1016/0393-0440(89)90013-2zbMath0695.16020OpenAlexW2069062732MaRDI QIDQ909761

Robert Coquereaux

Publication date: 1989

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(89)90013-2

zbMATH Keywords

Hochschild homology groupsnoncommutative geometrydifferential formsquantum field theorystatistical physicscyclic cohomologyDe Rham complexsmooth manifoldbivariant K-theoryindex theory for elliptic operatorsuniversal differential algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and operator algebras (including cyclic theory) (46L80) Axiomatic quantum field theory; operator algebras (81T05) (Semi-) Fredholm operators; index theories (47A53) Applications of global differential geometry to the sciences (53C80) de Rham theory in global analysis (58A12) Foliations in differential topology; geometric theory (57R30) Other homology theories in algebraic topology (55N35) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

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