Semigroup real characters generated by quasicharacters
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Gastão Bettencourt
Abstract
Let S be an infinite, finitely generated semigroup, endowed with a probability measure. Based on the work [A. Erschler and A. Karlsson,
Homomorphisms to
Funding statement: The authors were partially supported by FCT (Fundação para a Ciência e a Tecnologia, Portugal), trough the research project UIDB/00212/2020 of CMA-UBI (Centro de Matemática e Aplicações, Universidade da Beira Interior, Portugal).
Acknowledgements
The authors would like to thank Jorge Almeida for a valuable exchange of emails. Thanks are also due to the anonymous referee whose suggestions helped to improve the paper.
References
[1]
G. Bettencourt and S. Mendes,
Homomorphisms to
[2] A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups. Vol. I, Math. Surveys 7, American Mathematical Society, Providence, 1967. 10.1090/surv/007.2Search in Google Scholar
[3]
A. Erschler and A. Karlsson,
Homomorphisms to
[4] R. I. Grigorchuk, Some results on bounded cohomology, Combinatorial and Geometric Group Theory (Edinburgh 1993), London Math. Soc. Lecture Note Ser. 204, Cambridge University, Cambridge (1995), 111–163. 10.1017/CBO9780511566073.011Search in Google Scholar
[5] A. Karlsson and F. Ledrappier, Linear drift and Poisson boundary for random walks, Pure Appl. Math. Q. 3 (2007), no. 4, 1027–1036. 10.4310/PAMQ.2007.v3.n4.a8Search in Google Scholar
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