Convex polytopes and the index of Wiener-Hopf operators

zbMath1222.47136arXiv1102.3823MaRDI QIDQ5391203

Alexander Alldridge

Publication date: 6 April 2011

Full work available at URL: https://arxiv.org/abs/1102.3823

zbMATH Keywords

\(C^*\)-algebrapolyhedron\(f\)-vector\(K\)-theoryconvex coneindex formulaWiener-Hopf operatorAtiyah-Hirzebruch spectral sequencepolyhedral cone\(KK\)-theorycombinatorial equivalence\(KK\)-contractible

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) (n)-dimensional polytopes (52B11) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (1)

On the Wiener-Hopf compactification of a symmetric cone

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