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The noncommutative geometry of the discrete Heisenberg group

Tom Hadfield
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Abstract

Motivated by the search for new examples of ``noncommutative manifolds'', we study the noncommutative geometry (in the sense of Connes) of the group C*-algebra of the three dimensional discrete Heisenberg group. We present a unified treatment of the K-homology, cyclic cohomology and derivations of this algebra.

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Tom Hadfield. 2002-01-10. The noncommutative geometry of the discrete Heisenberg group. https://arxiv.org/abs/math/0201093

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