 

Valentin Deaconu
On groupoids and C*algebras from selfsimilar actions
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Published: 
July 6, 2021. 
Keywords: 
Homology of groupoids; selfsimilar action; similarity of groupoids; CuntzPimsner algebra; Ktheory. 
Subject: 
Primary 46L05. 


Abstract
Given a selfsimilar groupoid action (G,E) on the path space of a finite graph, we study the associated ExelPardo étale groupoid g(G,E) and its C*algebra C*(G,E). We review some facts about groupoid actions, skew products and semidirect products and generalize a result of Renault about similarity of groupoids which resembles Takai duality. We also describe a general strategy to compute the Ktheory of C*(G,E) and the homology of g(G,E) in certain cases and illustrate with an example.


Acknowledgements
N/A


Author information
Valentin Deaconu:
Department of Mathematics & Statistics
University of Nevada
Reno, NV 895570084, USA
vdeaconu@unr.edu

