Hochschild and cyclic homology of the quantum multiparametric torus. (English) Zbl 0881.18014

Wambst, Marc

J. Pure Appl. Algebra 114, No. 3, 321-329 (1997).

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”.

Reviewer: R.Fröberg (Stockholm)

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)

Keywords:

quantum torus; Hochschild homology; quantum Koszul complexes; cyclic homology

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