Cohomology of \mathcal A_θ^alg \rtimes \mathbb Z₂ and its Chern-Connes pairing

2014/03/24 by Quddus, Safdar
#16A (Secondary) #19A (Primary) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1403.5848

Abstract

We calculate the Hochschild and cyclic cohomology of the \mathbb Z₂ toroidal orbifold \mathcal A_θ^alg \rtimes \mathbb Z₂. We also calculate the Chern-Connes pairing of the even cyclic cohomology group with the known elements of K₀(\mathcal A_θ^alg \rtimes \mathbb Z₂).

Related

• Cyclic Cohomology and Chern Connes pairing of some crossed product\n algebras
• On Bott-Chern and Aeppli cohomologies of two-dimensional toroidal groups
• The cohomology of the Lyons group and double covers of alternating groups
• Cohomology of Toroidal Orbifold Quotients
• Chern Classes in Alexander-Spanier Cohomology