C*-algebras And Elliptic Theory Ii C*-algebras And Elliptic Theory Two

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 L 2 -invariants. The results presented in this book, which is largely inspired and stimulated by the Atiyah-Singer index theorem, should be of interest to graduates and researchers in mathematical physics, differential topology and differential analysis. ? Theconference“c -algebrasandelliptic Theory,ii” Washeldatthestefanbanach International Mathematical Center In Bed ̧ Lewo, Poland, In January 2006, One Of A Series Of Meetings In Polandand Russia. This Volumeis A Collectionof Originaland Refereed Researchand Expositorypapers Related To The Meeting. Although Centered On The K-theory Of Operator Algebras, A Broad Range Of Topics Is Covered Including 2 Geometric, L - And Spectral Invariants, Such As The Analytic Torsion, Signature And Index, Of Di?erential And Pseudo-di?erential Operators On Spaces Which Are Pos- Bly Singular, Foliated Or Non-commutative. This Material Should Be Of Interest To Researchers In Mathematical Physics, Di?erential Topology And Analysis. The Series Of Conferences Including This One Originatedwith An Idea Of Prof- Sorbogdanbojarski,namely,tostrengthencollaborationbetweenmathematicians From Poland And Russia On The Basis Of Common Scienti?c Interests, Particularly In The ?eld Of Non-commutative Geometry. This Led To The ?rst Meeting, In 2004, Whichbroughttogetherabout60mathematiciansnotonlyfromrussiaandpoland, But From Other Leading Centers. It Was Supported By The European Program “g- Metric Analysis Research Training Network”. Since Then There Have Been Annual Meetings Alternating Between B ̧ Edlewo And Moscow. The Second Conference Was Organized In Moscow In 2005 And Was Dedicated To The Memory Of Yu.p. Solovyov. The Proceedings Will Appear In The Journal Of K-theory. The Conference On Which This Volume Is Based Was The Third Conference In The Overall Series With The Fourth Being Held In Moscow In 2007. A Further Meeting In Bed ̧ Lewo Is Planned For 2009. 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. Dan Burghelea ... [et Al.], Editors. The Conference 'c*-algebras And Elliptic Theory, Ii' Was Held At The Stefan Banach International Mathematical Center In Będlewo, Poland, In January 2006.--p. [vii]. Includes Bibliographic References. 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. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.