C*-algebras and elliptic theory

Author(s)

• Bojarski, Bogdan
• Burghelea, Dan

Bibliographic Information

C*-algebras and elliptic theory

Bogdan Bojarski ... [et al.], editors ; in cooperation with Dan Burghelea, Richard Melrose, and Victor Nistor

（Trends in mathematics）

Birkhäuser Verlag, c2006-

• [1]
• 2

Other Title

C*-algebras and elliptic theory II

Note

Includes bibliographical references

2: editors: Dan Burghelea, et al.

Description and Table of Contents

Volume

[1] ISBN 9783764376864

Description

This book consists of reviewed original research papers and expository articles in index theory (especially on singular manifolds), topology of manifolds, operator and equivariant K-theory, Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others, and applications in mathematical physics. The wide spectrum of subjects reflects the diverse directions of research for which the starting point was the Atiyah-Singer index theorem.

Table of Contents

• Correspondences and Index.- Approximation Properties for Discrete Groups.- A Riemannian Invariant, Euler Structures and Some Topological Applications.- Morse Inequalities for Foliations.- Index Theory for Generalized Dirac Operators on Open Manifolds.- Semiclassical Asymptotics and Spectral Gaps for Periodic Magnetic Schroedinger Operators on Covering Manifolds.- The Group of Unital C*-extensions.- Lefschetz Theory on Manifolds with Singularities.- Residues and Index for Bisingular Operators.- On the Hopf-type Cyclic Cohomology with Coefficients.- The Thom Isomorphism in Gauge-equivariant K-theory.- Pseudodifferential Subspaces and Their Applications in Elliptic Theory.- New L 2-invariants of Chain Complexes and Applications.- Bundles of C*-algebras and the KK(X
• ?,?)-bifunctor.

Volume

2 ISBN 9783764386030

Description

This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.

Table of Contents

Lefschetz Distribution of Lie Foliations.- Torsion, as a Function on the Space of Representations.- The K-theory of Twisted Group Algebras.- Twisted Burnside Theorem for Two-step Torsion-free Nilpotent Groups.- Ihara Zeta Functions for Periodic Simple Graphs.- Adiabatic Limits and the Spectrum of the Laplacian on Foliated Manifolds.- On the Non-standard Podle? Spheres.- Boundaries, Eta Invariant and the Determinant Bundle.- Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators.- Elliptic Theory on Manifolds with Corners: II. Homotopy Classification and K-Homology.- Dixmier Traceability for General Pseudo-differential Operators.- Topological Invariants of Bifurcation.- Modified Hochschild and Periodic Cyclic Homology.- L 2-invariants and Rank Metric.- Group Bundle Duality, Invariants for Certain C*-algebras, and Twisted Equivariant K-theory.- A New Topology on the Space of Unbounded Selfadjoint Operators, K-theory and Spectral Flow.

by "Nielsen BookData"

Details

• NCID: BA78197723
• ISBN:
  • 3764376864
  • 9783764386030
• LCCN: 2006049877
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Basel ; Boston
• Pages/Volumes: v.
• Size: 24 cm
• Classification:
  • LCC : QA326
  • DC22 : 512/.556
• Subject Headings:
  • LCSH : C*-algebras
  • LCSH : Elliptic functions
• Parent Bibliography ID:
  • BA33112240