Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/33508
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| Title: | Unifying interval maps and branching systems with applications to relative graph C*-algebras |
| Authors: | Correia Ramos, Carlos |
| Keywords: | Relative graph C∗-algebra
Branching systems
Representation
Transition matrix
Interval map |
| Issue Date: | 1-Mar-2023 |
| Publisher: | Elsevier |
| Citation: | C. Correia Ramos, D. Gonçalves, Nuno Martins, Paulo R. Pinto,
Unifying interval maps and branching systems with applications to relative graph C*-algebras,
Journal of Mathematical Analysis and Applications,
Volume 519, Issue 1,2023,
ISSN 0022-247X,
https://doi.org/10.1016/j.jmaa.2022.126757. |
| Abstract: | We describe Markov interval maps via branching systems and develop the theory
of relative branching systems, characterizing when the associated representations
of relative graph C*-algebras are faithful. When the Markov interval maps f have
escape sets, we use our results to characterize injectivity of the associated relative
graph algebra representations, improving on previous work by the first, third, and
fourth authors |
| URI: | https://www.sciencedirect.com/science/article/pii/S0022247X22007715?via%3Dihub
http://hdl.handle.net/10174/33508 |
| Type: | article |
| Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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