Hochschild and cyclic homology of the crossed product of algebraic irrational rotational algebra by finite subgroups of \({SL}(2,\mathbb{Z})\)

DOI10.1016/J.JALGEBRA.2015.08.019zbMath1334.46057arXiv1403.5983OpenAlexW2137166129MaRDI QIDQ897766

Safdar Quddus

Publication date: 7 December 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5983

zbMATH Keywords

Hochschild cohomologyperiodic cyclic homologynon-commutative torus

Mathematics Subject Classification ID

Noncommutative topology (46L85) (K)-theory and homology; cyclic homology and cohomology (19D55)

Related Items (3)

Equivariant Cartan homotopy formulae for the crossed product of \(DG\) algebra ⋮ Cyclic cohomology and Chern-Connes pairing of some crossed product algebras ⋮ Tracing cyclic homology pairings under twisting of graded algebras

Cites Work

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• The Picard group of a noncommutative algebraic torus.
• Invariants of the quantum torus
• The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)

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