Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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. 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.

C*-algebras --- Elliptic functions --- Elliptic integrals --- Functions, Elliptic --- Integrals, Elliptic --- Transcendental functions --- Functions of complex variables --- Integrals, Hyperelliptic --- Algebras, C star --- Algebras, W star --- C star algebras --- W star algebras --- W*-algebras --- Banach algebras --- Algebra. --- Functional analysis. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Mathematics --- Mathematical analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Algebraic topology --- 515.1 --- Topology --- Homotopy theory. --- Topological groups. --- 515.1 Topology --- Groupes topologiques. --- Homologie. --- Cohomologie. --- Homology theory --- Topological groups --- Automorphisms --- Automorphismes --- Homology theory. --- Cohomologie --- Groupes topologiques --- Homologie --- Variétés topologiques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

? TheconferenceC -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.

Functional analysis --- functies (wiskunde)