Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Free minimal actions of solvable Lie groups which are not affable


Authors: Fernando Alcalde Cuesta, Álvaro Lozano Rojo and Matilde Martínez
Journal: Proc. Amer. Math. Soc. 149 (2021), 2679-2691
MSC (2020): Primary 57R30; Secondary 37A20, 37B52
DOI: https://doi.org/10.1090/proc/15365
Published electronically: March 18, 2021
MathSciNet review: 4246817
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We construct an uncountable family of transversely Cantor laminations of compact spaces defined by free minimal actions of solvable groups, which are not affable and whose orbits are not quasi-isometric to Cayley graphs.


References [Enhancements On Off] (What's this?)

References

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2020): 57R30, 37A20, 37B52

Retrieve articles in all journals with MSC (2020): 57R30, 37A20, 37B52


Additional Information

Fernando Alcalde Cuesta
Affiliation: Instituto de Matemáticas, Universidad de Santiago de Compostela, E-15782, Santiago de Compostela, Spain
MR Author ID: 24510
ORCID: 0000-0002-6863-4283
Email: fernando.alcalde@usc.es

Álvaro Lozano Rojo
Affiliation: Centro Universitario de la Defensa, Academia General Militar, Ctra. Huesca s/n. E-50090 Zaragoza, Spain
ORCID: 0000-0002-1184-5901
Email: alozano@unizar.es

Matilde Martínez
Affiliation: Instituto de Matemática y Estadística Rafael Laguardia, Facultad de Ingeniería, Universidad de la República, J.Herrera y Reissig 565, C.P.11300 Montevideo, Uruguay
ORCID: 0000-0002-4926-6892
Email: matildem@fing.edu.uy

Received by editor(s): December 5, 2019
Received by editor(s) in revised form: September 15, 2020
Published electronically: March 18, 2021
Additional Notes: This work was partially supported by Spanish MINECO Grant MTM2016-77642-C2-2-P), the European Regional Development Fund, and grant ANII-FCE-135352 from Uruguay.
The research of the first author has been carried out despite the current administration of the University of Santiago de Compostela.
Dedicated: Dedicated to Jean Renault on his $70$th birthday
Communicated by: Nimish Shah
Article copyright: © Copyright 2021 American Mathematical Society