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C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
C-Algebra Extensions and K-Homology. (AM-95), Volume 95 / / Ronald G. Douglas
Autore Douglas Ronald G.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (94 pages) : illustrations
Disciplina 512/.55
Collana Annals of Mathematics Studies
Soggetto topico C*-algebras
K-theory
Algebra, Homological
Soggetto non controllato Addition
Affine transformation
Algebraic topology
Atiyah–Singer index theorem
Automorphism
Banach algebra
Bijection
Boundary value problem
Bundle map
C*-algebra
Calculation
Cardinal number
Category of abelian groups
Characteristic class
Chern class
Clifford algebra
Coefficient
Cohomology
Compact operator
Completely positive map
Contact geometry
Continuous function
Corollary
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Dimension function
Dimension
Direct integral
Direct proof
Eigenvalues and eigenvectors
Equivalence class
Equivalence relation
Essential spectrum
Euler class
Exact sequence
Existential quantification
Fiber bundle
Finite group
Fredholm operator
Fredholm
Free abelian group
Fundamental class
Fundamental group
Hardy space
Hermann Weyl
Hilbert space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy
Ideal (ring theory)
Inner automorphism
Irreducible representation
K-group
K-theory
Lebesgue space
Locally compact group
Maximal compact subgroup
Michael Atiyah
Monomorphism
Morphism
Natural number
Natural transformation
Normal operator
Operator algebra
Operator norm
Operator theory
Orthogonal group
Pairing
Piecewise linear manifold
Polynomial
Pontryagin class
Positive and negative parts
Positive map
Pseudo-differential operator
Quaternion
Quotient algebra
Self-adjoint operator
Self-adjoint
Simply connected space
Smooth structure
Special case
Stein manifold
Strong topology
Subalgebra
Subgroup
Subset
Summation
Tangent bundle
Theorem
Todd class
Topology
Torsion subgroup
Unitary operator
Universal coefficient theorem
Variable (mathematics)
Von Neumann algebra
ISBN 1-4008-8146-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. An Overview -- Chapter 2. Ext as a Group -- Chapter 3. Ext as a Homotopy Functor -- Chapter 4. Generalized Homology Theory and Periodicity -- Chapter 5. Ext as K-Homology -- Chapter 6. Index Theorems snd Novikov's Higher Signatures -- References -- Index -- Index of Symbols -- Backmatter
Record Nr. UNINA-9910154752903321
Douglas Ronald G.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos
Autore Halmos Paul R (Paul Richard), <1916-2006, >
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (206 pages)
Disciplina 512.52
Collana Annals of Mathematics Studies
Soggetto topico Transformations (Mathematics)
Generalized spaces
Soggetto non controllato Absolute value
Accuracy and precision
Addition
Affine space
Algebraic closure
Algebraic equation
Algebraic operation
Algebraically closed field
Associative property
Automorphism
Axiom
Banach space
Basis (linear algebra)
Bilinear form
Bounded operator
Cardinal number
Cayley transform
Characteristic equation
Characterization (mathematics)
Coefficient
Commutative property
Complex number
Complex plane
Computation
Congruence relation
Convex set
Coordinate system
Determinant
Diagonal matrix
Dimension (vector space)
Dimension
Dimensional analysis
Direct product
Direct proof
Direct sum
Division by zero
Dot product
Dual basis
Eigenvalues and eigenvectors
Elementary proof
Equation
Euclidean space
Existential quantification
Function of a real variable
Functional calculus
Fundamental theorem
Geometry
Gram–Schmidt process
Hermitian matrix
Hilbert space
Infimum and supremum
Jordan normal form
Lebesgue integration
Linear combination
Linear function
Linear independence
Linear map
Linear programming
Linearity
Manifold
Mathematical induction
Mathematics
Minimal polynomial (field theory)
Minor (linear algebra)
Monomial
Multiplication sign
Natural number
Nilpotent
Normal matrix
Normal operator
Number theory
Orthogonal basis
Orthogonal complement
Orthogonal coordinates
Orthogonality
Orthonormality
Polynomial
Quotient space (linear algebra)
Quotient space (topology)
Real number
Real variable
Scalar (physics)
Scientific notation
Series (mathematics)
Set (mathematics)
Sign (mathematics)
Special case
Spectral theorem
Spectral theory
Summation
Tensor calculus
Theorem
Topology
Transitive relation
Unbounded operator
Uncountable set
Unit sphere
Unitary transformation
Variable (mathematics)
Vector space
ISBN 1-4008-8223-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS
Record Nr. UNINA-9910154744503321
Halmos Paul R (Paul Richard), <1916-2006, >  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui