A01=Ronald G. Douglas
Addition
Affine transformation
Atiyah-Singer index theorem
Author_Ronald G. Douglas
Automorphism
Banach algebra
Boundary value problem
C*-algebra
Cardinal number
Category of abelian groups
Category=PBF
Characteristic class
Chern class
Clifford algebra
Coefficient
Cohomology
Compact operator
Contact geometry
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Dimension function
Direct integral
Eigenvalues and eigenvectors
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivalence class
Equivalence relation
Essential spectrum
Euler class
Exact sequence
Existential quantification
Fredholm operator
Fundamental class
Fundamental group
Hardy space
Hermann Weyl
Hilbert space
Homology (mathematics)
Homomorphism
Homotopy
Ideal (ring theory)
Inner automorphism
Irreducible representation
K-theory
Lebesgue space
Maximal compact subgroup
Monomorphism
Natural transformation
Normal operator
Operator algebra
Operator norm
Operator theory
Orthogonal group
Piecewise linear manifold
Polynomial
Pontryagin class
Pseudo-differential operator
Quotient algebra
Self-adjoint operator
Smooth structure
Special case
Stein manifold
Subalgebra
Summation
Theorem
Todd class
Topology
Unitary operator
Universal coefficient theorem
Variable (mathematics)
Von Neumann algebra
Product details
- ISBN 9780691082660
- Weight: 170g
- Dimensions: 152 x 229mm
- Publication Date: 21 Jul 1980
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ? Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.
