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arXiv research

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2 results for “H-unitality”

H-Unitality of Smooth Groupoid Algebrasmath.OA

Smooth groupoid algebras are H-unital, with implications for algebraic and homological properties.

problem Understanding the structure of convolution algebras on Lie groupoids.

method Analyzing smooth functions and invariant subsets to prove H-unitality.

result H-unitality of groupoid algebras and their quotients, leading to excision properties.

groupoid algebras H-unitality convolution algebras Lie groupoids excision properties

2023-07-01abs ↗pdf ↗

Foliation groupoids and their cyclic homologymath.KT

In this paper we study the Lie groupoids which appear in foliation theory. A foliation groupoid is a Lie groupoid which integrates a foliation, or, equivalently, whose anchor map is injective. The first theorem shows that, for a Lie groupoid G, the following are equivalent: - G is a foliation groupoid, - G has discrete…

2000-03-20abs ↗pdf ↗