JournalsjncgVol. 11, No. 3pp. 827–843

Cohomology of AθalgZ2\mathcal A_θ^\mathrm {alg} \rtimes \mathbb Z_2 and its Chern–Connes pairing

  • Safdar Quddus

    National Institute of Science Education & Research, Jatni, India
Cohomology of $\mathcal A_θ^\mathrm {alg} \rtimes \mathbb Z_2$ and its Chern–Connes pairing cover

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Abstract

We calculate the Hochschild and cyclic cohomology of the noncommutative Z2\mathbb Z_2 toroidal algebraic orbifold AθalgZ2\mathcal A_θ^\mathrm {alg} \rtimes \mathbb Z_2. We also calculate the Chern–Connes pairing of the even periodic cyclic cocycles with the known elements of K0(AθalgZ2)K_0 (\mathcal A_θ^\mathrm {alg} \rtimes \mathbb Z_2).

Cite this article

Safdar Quddus, Cohomology of AθalgZ2\mathcal A_θ^\mathrm {alg} \rtimes \mathbb Z_2 and its Chern–Connes pairing. J. Noncommut. Geom. 11 (2017), no. 3, pp. 827–843

DOI 10.4171/JNCG/11-3-2