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Mendes, S. & Bettencourt, G. H. (2016). Homomorphism to R obtained from quasiorphisms with an application to the reduced group C*-algebra. WOTCA 2016.
S. M. Mendes and G. H. Bettencourt, "Homomorphism to R obtained from quasiorphisms with an application to the reduced group C*-algebra", in WOTCA 2016, Coimbra, 2016
@misc{mendes2016_1766813827521,
author = "Mendes, S. and Bettencourt, G. H.",
title = "Homomorphism to R obtained from quasiorphisms with an application to the reduced group C*-algebra",
year = "2016",
howpublished = "Outro",
url = "https://wotca16.math.tecnico.ulisboa.pt/"
}
TY - CPAPER TI - Homomorphism to R obtained from quasiorphisms with an application to the reduced group C*-algebra T2 - WOTCA 2016 AU - Mendes, S. AU - Bettencourt, G. H. PY - 2016 CY - Coimbra UR - https://wotca16.math.tecnico.ulisboa.pt/ AB - Let G be a finitely generated, discrete group. Using a random walk approach, Erschler and Karlsson constructed a homomorphism G ? R. Central to their construction were the word length ? and a well behaved measure ? on G. We consider a modified version of this construction using instead of ? a quasimorphism f of G. Moreover, if a group H acts on G via group automorphisms we show that this technique can be adapted to construct a homomorphism of the semidirect product G ?_? H to R. As an application, we construct a ?-automorphism ?_f of the underlying reduced group C^?-algebra C^?_r(G). ER -
English