Smooth Connes--Thom isomorphism, cyclic homology, and equivariant quantisation

Abstract

Using a smooth version of the Connes--Thom isomorphism in Grensing's bivariant K-theory for locally convex algebras, we prove an equivariant version of the Connes--Thom isomorphism in periodic cyclic homology. As an application, we prove that periodic cyclic homology is invariant with respect to equivariant strict deformation quantization.

31 pages

References in corpus (1)

• The structure of crossed products of irrational rotation algebras by finite subgroups of SL_2 (Z)

Cited by in corpus (1)

• Hochschild and Cyclic Homology of Quantum Kummer Spaces