-théorie algébrique négative et -théorie topologique de l’algèbre de Fréchet des opérateurs régularisants
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-theory and Toeplitz -algebras a survey
Matthias Lesch (1990/1991)
Séminaire de théorie spectrale et géométrie
-theory for Cuntz-Krieger algebras arising from real quadratic maps.
Martins, Nuno, Severino, Ricardo, Sousa Ramos, J. (2003)
International Journal of Mathematics and Mathematical Sciences
K-Groups of Toeplitz Algebras of Reinhardt Domains.
Albert Jeu-Liang Sheu (1994)
Mathematica Scandinavica
KK-theory of the full free product of unital C*-algebras.
Emmanuel Germain (1997)
Journal für die reine und angewandte Mathematik
K-theory from the point of view of C*-algebras and Fredholm representations
Alexandr Mishchenko (2005)
Open Mathematics
These notes represent the subject of five lectures which were delivered as a minicourse during the VI conference in Krynica, Poland, “Geometry and Topology of Manifolds”, May, 2–8, 2004.
K-theory of Boutet de Monvel's algebra
Severino T. Melo, Ryszard Nest, Elmar Schrohe (2003)
Banach Center Publications
We consider the norm closure 𝔄 of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a compact manifold X with boundary ∂X. Assuming that all connected components of X have nonempty boundary, we show that K₁(𝔄) ≃ K₁(C(X)) ⊕ ker χ, where χ: K₀(C₀(T*Ẋ)) → ℤ is the topological index, T*Ẋ denoting the cotangent bundle of the interior. Also K₀(𝔄) is topologically determined. In case ∂X has torsion free K-theory, we get K₀(𝔄) ≃ K₀(C(X)) ⊕ K₁(C₀(T*Ẋ)).
K-theory over C*-algebras
Alexandr S. Mishchenko (2007)
Banach Center Publications
The contents of the article represents the minicourse which was delivered at the 7th conference "Geometry and Topology of Manifolds. The Mathematical Legacy of Charles Ehresmann", Będlewo (Poland), 8.05.2005 - 15.05.2005. The article includes the description of the so called Hirzebruch formula in different aspects which lead to a basic list of problems related to noncommutative geometry and topology. In conclusion, two new problems are presented: about almost flat bundles and about the Noether decomposition...
K-гомологии -алгебр
В.М. Мануйлов (1988)
Matematiceskij sbornik
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