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Toeplitz operators on noncommutative spheres and an index theorem

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Publication:4214104
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DOI10.1512/iumj.1997.46.1152zbMath0906.46054OpenAlexW2041301826MaRDI QIDQ4214104

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Publication date: 18 February 1999

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/TOC/974.htm


zbMATH Keywords

trace\(K\)-theoryToeplitz operatorstopological indexnoncommutative spheresToeplitz algebrauniversal \(C^*\)-algebrasanalogue to Hardy space


Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)


Related Items (5)

Towards a noncommutative Brouwer fixed-point theorem ⋮ Anticommutation in the presentations of theta-deformed spheres ⋮ Finitely-generated projective modules over the \(\theta \)-deformed 4-sphere ⋮ Free actions on C*-algebra suspensions and joins by finite cyclic groups ⋮ Invariants in noncommutative dynamics




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