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arXiv · 1609.01913

A note on a certain Baum--Connes map for inverse semigroups

Bernhard Burgstaller
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Abstract

Let $G$ denote a countable inverse semigroup. We construct a kind of a Baum--Connes map $K(\tilde A \rtimes G) \rightarrow K(A \rtimes G)$ by a categorial approach via localization of triangulated categories, developed by R. Meyer and R. Nest for groups $G$. We allow the coefficient algebras $A$ to be in a special class of algebras called fibered $G$-algebras. This note continues and fixes our preprint "Attempts to define a Baum--Connes map via localization of categories for inverse semigroups".

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Bernhard Burgstaller. 2016-09-07. A note on a certain Baum--Connes map for inverse semigroups. https://arxiv.org/abs/1609.01913

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