Hochschild and Cyclic Homology of Quantum Kummer Spaces
Safdar Quddus
TL;DR
This paper investigates the Hochschild and cyclic homology of quantum Kummer spaces formed by quotienting quantum tori with a flip action, providing explicit calculations of these homological invariants.
Contribution
It offers the first explicit computation of Hochschild and cyclic homology for quantum Kummer spaces derived from quantum tori.
Findings
Calculated Hochschild homology of quantum Kummer spaces
Determined cyclic and periodic cyclic homology groups
Provided new insights into the structure of quantum quotient spaces
Abstract
We study the quotient space obtained by the flip action on the quantum n-tori. The Hochschild, cyclic and periodic cyclic homology are calculated.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research