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

Yi-jun Yao  (Fudan University)

10:00-11:15, Oct 29, 2019   Science Building A510

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.

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