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Higher genera for proper actions of Lie groups, Part 2: the case of manifolds with boundary
Paolo Piazza, Hessel Posthuma
Let G be a finitely connected Lie group and let K be a maximal compact subgroup. Let M be a cocompact G-proper manifold with boundary, endowed with a G-invariant metric which is of…
math.KT2020
On the Hochschild homology of convolution algebras of proper Lie groupoids
Markus J. Pflaum, Hessel B. Posthuma, Xiang Tang
We study the Hochschild homology of the convolution algebra of a proper Lie groupoid by introducing a convolution sheaf over the space of orbits. We develop a localization result f…