Noncommutative geometry. A functorial approach

DOI10.1515/9783110545258zbMath1388.14001arXiv1503.05411OpenAlexW1945427623MaRDI QIDQ5920127

Igor V. Nikolaev

Publication date: 13 October 2017

Published in: De Gruyter Studies in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05411

zbMATH Keywords

deformation quantizationquantum groupsK-theoryHopf algebraindex theorynoncommutative toriHecke eigenformnoncommutative algebraic geometryJones polynomialsSklyanin algebrasAF-algebrasC*-algebrasKasparov KK-theoryUHF-algebrasAnasov automorphismscluster C*-algebrasConnes geometriescontinuous geometries

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Categories in geometry and topology (18F99)

Related Items (6)

Dynamical ideals of non-commutative rings ⋮ Langlands reciprocity for \(C^\ast \)-algebras ⋮ Bratteli diagrams via the De Concini–Procesi theorem ⋮ On a Poisson summation formula for noncommutative tori ⋮ Sklyanin algebras revisited ⋮ AF-algebras with lattice-ordered \(K_0\): logic and computation

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