Pseudodifferential Analysis In Algebras Psi Algebras On Transmission Spaces Infinite Solving Ideal Chains And K Theory For Conformally Compact Spaces
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Pseudodifferential Analysis In Y63 Algebras Psi Algebras On Transmission Spaces Infinite Solving Ideal Chains And K Theory For Conformally Compact Spaces
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Author : Jochen Ditsche
language : en
Publisher:
Release Date : 2008
Pseudodifferential Analysis In Y63 Algebras Psi Algebras On Transmission Spaces Infinite Solving Ideal Chains And K Theory For Conformally Compact Spaces written by Jochen Ditsche and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematical analysis categories.
Pseudodifferential Analysis In Algebras Psi Algebras On Transmission Spaces Infinite Solving Ideal Chains And K Theory For Conformally Compact Spaces
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Author : Jochen Ditsche
language : en
Publisher:
Release Date : 2008
Pseudodifferential Analysis In Algebras Psi Algebras On Transmission Spaces Infinite Solving Ideal Chains And K Theory For Conformally Compact Spaces written by Jochen Ditsche and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Deutsche Nationalbibliografie
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Author : Die deutsche Nationalbibliothek
language : de
Publisher:
Release Date : 2008
Deutsche Nationalbibliografie written by Die deutsche Nationalbibliothek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen
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Author :
language : de
Publisher:
Release Date : 2008
Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Dissertations, Academic categories.
C Algebras And Elliptic Operators In Differential Topology
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Author : I_U_ri_ Petrovich Solov_v Evgeni_ Vadimovich Troit_s_ki_
language : en
Publisher: American Mathematical Soc.
Release Date : 2000-10-03
C Algebras And Elliptic Operators In Differential Topology written by I_U_ri_ Petrovich Solov_v Evgeni_ Vadimovich Troit_s_ki_ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-03 with Mathematics categories.
The aim of this book is to present some applications of functional analysis and the theory of differential operators to the investigation of topological invariants of manifolds. The main topological application discussed in the book concerns the problem of the description of homotopy-invariant rational Pontryagin numbers of non-simply connected manifolds and the Novikov conjecture of homotopy invariance of higher signatures. The definition of higher signatures and the formulation of the Novikov conjecture are given in Chapter 3. In this chapter, the authors also give an overview of different approaches to the proof of the Novikov conjecture. First, there is the Mishchenko symmetric signature and the generalized Hirzebruch formulae and the Mishchenko theorem of homotopy invariance of higher signatures for manifolds whose fundamental groups have a classifying space, being a complete Riemannian non-positive curvature manifold. Then the authors present Solovyov's proof of the Novikov conjecture for manifolds with fundamental group isomorphic to a discrete subgroup of a linear algebraic group over a local field, based on the notion of the Bruhat-Tits building. Finally, the authors discuss the approach due to Kasparov based on the operator $KK$-theory and another proof of the Mishchenko theorem. In Chapter 4, they outline the approach to the Novikov conjecture due to Connes and Moscovici involving cyclic homology. That allows one to prove the conjecture in the case when the fundamental group is a (Gromov) hyperbolic group. The text provides a concise exposition of some topics from functional analysis (for instance, $C^*$-Hilbert modules, $K$-theory or $C^*$-bundles, Hermitian $K$-theory, Fredholm representations, $KK$-theory, and functional integration) from the theory of differential operators (pseudodifferential calculus and Sobolev chains over $C^*$-algebras), and from differential topology (characteristic classes). The book explains basic ideas of the subject and can serve as a course text for an introduction to the study of original works and special monographs.
L2 Invariants Theory And Applications To Geometry And K Theory
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Author : Wolfgang Lück
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-08-06
L2 Invariants Theory And Applications To Geometry And K Theory written by Wolfgang Lück and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-06 with Mathematics categories.
In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.
Infinite Dimensional Lie Algebras
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Author : Victor G. Kac
language : en
Publisher: Springer Science & Business Media
Release Date : 1983
Infinite Dimensional Lie Algebras written by Victor G. Kac and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Solving Composition Series For C And Y63 Algebras Psi Algebras Of Infinite Length And Transmission Spaces
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Author : Jochen Ditsche
language : en
Publisher:
Release Date : 2007
Solving Composition Series For C And Y63 Algebras Psi Algebras Of Infinite Length And Transmission Spaces written by Jochen Ditsche and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
A Symbolic Calculus For Pseudo Differential Operators In The Case Of A Gaussian Measure On Infinite Dimensional Spaces With Applications To Y63 Algebras Psi Algebras
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Author : Marc Höber
language : en
Publisher:
Release Date : 2006
A Symbolic Calculus For Pseudo Differential Operators In The Case Of A Gaussian Measure On Infinite Dimensional Spaces With Applications To Y63 Algebras Psi Algebras written by Marc Höber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
A Symbolic Calculus For Pseudo Differential Operators In The Case Of A Gaussian Measure On Infinite Dimensional Spaces With Applications To Algebras Psi Algebras
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Author : Marc Höber
language : en
Publisher:
Release Date : 2006
A Symbolic Calculus For Pseudo Differential Operators In The Case Of A Gaussian Measure On Infinite Dimensional Spaces With Applications To Algebras Psi Algebras written by Marc Höber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.