Chern Characters of Fourier Modules

DOI10.4153/CJM-2000-028-9zbMath0960.46045MaRDI QIDQ4496472

Samuel G. Walters

Publication date: 8 May 2001

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

traceinjectiveChern characteroperator K-theoryFourier automorphismzeroth cyclic cohomology group

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Automorphisms of selfadjoint operator algebras (46L40) (K_0) as an ordered group, traces (19K14)

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The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ) ⋮ Tracing projective modules over noncommutative orbifolds ⋮ Toroidal orbifolds of \(\mathbb{Z}_3\) and \(\mathbb{Z}_6\) symmetries of noncommutative tori ⋮ K-Theory of Non-Commutative Spheres Arising from the Fourier Automorphism ⋮ Tracing cyclic homology pairings under twisting of graded algebras ⋮ Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of \(SL_2(\mathbb{Z})\) ⋮ ON THE INDUCTIVE LIMIT STRUCTURE OF ORDER FOUR AUTOMORPHISMS OF THE IRRATIONAL ROTATION ALGEBRA ⋮ The K-inductive structure of the noncommutative Fourier transform ⋮ Minimal \(H_3\) actions and simple quotients of a discrete 6-dimensional nilpotent group ⋮ Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group

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