1.

Record Nr.

UNINA9910788643003321

Titolo

Representation theory of groups and algebras / / Jeffrey Adams [and five others], editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1993]

©1993

ISBN

0-8218-7736-4

Descrizione fisica

1 online resource (506 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 145

Disciplina

512/.2

Soggetti

Representations of groups

Representations of algebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Contains proceedings from activities  ... during the years 1989-1992"--Pref.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Preface""; ""Part I. Keynote speakers""; ""The orbit method, I: Geometric quantization""; ""The orbit method, II: Infinite-dimensional Lie groups and Lie algebras""; ""Quantized differential forms in non-commutative topology and geometry""; ""I. Algebras of differential forms and quantized differential forms""; ""II. Quantized differential forms and bivariant K-theory""; ""III. Quantized differential forms and cyclic cohomology""; ""IV. Applications: Homotopy invariance, Morita invariance, etc.""; ""Novikov's conjecture on higher signatures: The operator K-theory approach""

""O(n)-spherical functions on Heisenberg groups""""Orbits, multiplicities and differential operators""; ""A simple approach to Dλ-modules""; ""Theta series and construction of automorphic forms""; ""An application of infinite dimensional Lie theory to semisimple Lie groups""; ""On the existence of homomorphisms between scalar generalized Verma modules""; ""Unitary representations on the Shilov boundary of a symmetric tube domain""; ""Characters, fixed points and Osborne's conjecture""; ""The local Langlands conjecture""; ""Part IV. C*-algebras""

""Representation theory of infinite dimensional unitary groups""""C* -algebras and applications""; ""I. C*-algebras (basic notions)""; ""II. C*-algebras associated with groups, dynamical systems and groupoids"";



""III. The C*-algebra of a foliated manifold""; ""IV. K-theory for C*-algebras""; ""V. Asymptotic homomorphisms and E-theory""; ""Are amenable C* -algebras classifiable?""; ""Spectra for group actions""; ""Higher McKean-Singer index formulae and non-commutative geometry""; ""Binary shifts on the hyperfinite II1 factor""; ""Compact quantum groups associated with toral subgroups""