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Hochschild and cyclic homology of the quantum multiparametric torus. (English) Zbl 0881.18014
From the author’s abstract: “We explicitly compute the Hochschild homology groups of the quantum multiparametric torus, using previously constructed quantum Koszul complexes. We deduce the corresponding cyclic homology groups”.

MSC:
18G60 Other (co)homology theories (MSC2010)
13D25 Complexes (MSC2000)
17B37 Quantum groups (quantized enveloping algebras) and related deformations
18G50 Nonabelian homological algebra (category-theoretic aspects)
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