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|Title:||K-theory for C*-algebras associated to lattices in Heisenberg Lie groups|
|Authors:||Lee, S.T. |
Discrete Heisenberg groups
|Citation:||Lee, S.T.,Packer, J.A. (1996-01-01). K-theory for C*-algebras associated to lattices in Heisenberg Lie groups. Journal of Operator Theory 41 (2) : 291-319. ScholarBank@NUS Repository.|
|Abstract:||We present methods for computing the K-groups of a variety of C*-algebras associated to lattices in Heisenberg Lie groups, including twisted group C*-algebras and Azumaya algebras over the corresponding nilmanifolds. A precise formula for the rank of the above K-groups is given, and it is shown that any twisted group C*-algebra over such a lattice Γ is KK-equivalent to an ordinary group C*-algebra corresponding to a possibly different lattice Γ0. We also give applications of our methods to the calculation of K-groups for certain twisted transformation group C*-algebras and certain continuous trace algebras whose spectra are tori.|
|Source Title:||Journal of Operator Theory|
|Appears in Collections:||Staff Publications|
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