30 citations · 167 across the 27 of their papers we have counts for
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math.FA2005★ 1 cited
A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary
Johannes Aastrup, Ryszard Nest, Elmar Schrohe
For a smooth manifold with boundary we construct a semigroupoid and a continuous field of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asympto…
hep-th2005★ 29 cited
Spectral triples of holonomy loops
Johannes Aastrup, Jesper M. Grimstrup
The machinery of noncommutative geometry is applied to a space of connections. A noncommutative function algebra of loops closely related to holonomy loops is investigated. The spa…