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math.KT2010★ 2 cited
Exact sequences for locally convex subalgebras of Pimsner algebras with an application to Quantum Heisenberg Manifolds
Olivier Gabriel, Martin Grensing
We prove six-term exact sequences of Pimsner-Voiculescu type for certain subalgebras of the Cuntz-Pimsner algebras. This sequence may, in particular, be applied to smooth subalgebr…
math.OA2010
K-theory, Cyclic Cohomology and Pairings for Quantum Heisenberg Manifolds
Olivier Gabriel
The C*-algebras called Quantum Heisenberg Manifolds (QHM) were introduced by Rieffel in 1989 as strict deformation quantizations of Heisenberg manifolds. In this article, we comput…