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ISBN: 3540404694 Year: 2004 Publisher: Berlin Springer
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Homology theory --- Noncommutative differential geometry --- 512.73 --- Differential geometry, Noncommutative --- Geometry, Noncommutative differential --- Non-commutative differential geometry --- Infinite-dimensional manifolds --- Operator algebras --- Cohomology theory --- Contrahomology theory --- Algebraic topology --- 512.73 Cohomology theory of algebraic varieties and schemes --- Cohomology theory of algebraic varieties and schemes
ISBN: 3540203575 Year: 2004 Publisher: Berlin Springer-Verlag
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ISBN: 9783764383992 Year: 2007 Publisher: Basel Birkhäuser Verlag AG
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Mathematics --- Physics --- wiskunde --- fysica
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ISBN: 3764383992 3764383984 9783764383985 Year: 2007 Publisher: Basel: Birkhäuser,
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Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
Algebraic topology. --- K-theory. --- Algebraic topology --- Homology theory --- Topology --- Topology. --- K-Theory. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- K-theory
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ISBN: 3319599151 3319599143 Year: 2017 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,
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This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as diverse as the theory of unitary group representations, index theory, the topology of manifolds or ergodic theory of group actions.
Mathematics. --- K-theory. --- Functional analysis. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- K-Theory. --- Functional Analysis. --- Global Analysis and Analysis on Manifolds. --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Geometry, Differential --- Topology --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Algebraic topology --- Homology theory --- Math --- Science --- Global analysis.
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ISBN: 9783764383992 Year: 2007 Publisher: Basel Birkhäuser Basel
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Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
Mathematics --- Physics --- wiskunde --- fysica
Digital
ISBN: 9783319599151 Year: 2017 Publisher: Cham Springer International Publishing, Imprint: Birkhäuser
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This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as diverse as the theory of unitary group representations, index theory, the topology of manifolds or ergodic theory of group actions.
Differential geometry. Global analysis --- Functional analysis --- Mathematics --- Physics --- topologie (wiskunde) --- functies (wiskunde) --- statistiek --- zeevaartagenten --- wiskunde --- fysica
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ISBN: 9738543223 Year: 2003 Publisher: Bucharest Theta
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