Extensions of 𝐶*-algebras, operators with compact self-commutators, and 𝐾-homology

DOI10.1090/S0002-9904-1973-13284-7zbMath0277.46052OpenAlexW2042839629MaRDI QIDQ4403335

Ronald G. Douglas, Lawrence G. Brown, P. A. Fillmore

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13284-7

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Perturbation theory of linear operators (47A55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) General theory of (C^*)-algebras (46L05) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) ?ech types (55N05) Topological (K)-theory (55N15) Centralizing and normalizing extensions (16S20)

Related Items (16)

On the Calkin Algebra and the Covering Homotopy Property ⋮ Topologizing UCTs for unital extensions ⋮ A classification theorem for essentially binormal operators ⋮ Lifting commuting pairs of C*-algebras ⋮ Pseudometrics on Ext-semigroups ⋮ Steenrod homology and operator algebras ⋮ Extensions of 𝐶*-algebras and essentially 𝑛-normal operators ⋮ Operator algebras and algebraic $K$-theory ⋮ Graded \(K\)-theory and \(K\)-homology of relative Cuntz-Pimsner algebras and graph \(C^\ast \)-algebras ⋮ Traces of commutators of integral operators ⋮ The fine structure of the Kasparov groups. I: Continuity of the KK-pairing ⋮ Structure of the group \(C^*\)-algebra of the group of affine transformations of a straight line ⋮ Classification of homomorphisms and dynamical systems ⋮ Følner Sequences in Operator Theory and Operator Algebras ⋮ Almost commuting matrices and a quantitative version of the Brown- Douglas-Fillmore theorem ⋮ Small compact perturbation of strongly irreducible operators.

Cites Work

• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• Operators with Compact Self-Commutator
• Unnamed Item

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