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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 517, Pages 125–150 (Mi znsl7284)  
Semifinite harmonic functions on the direct product of graded graphs

P. Nikitina, N. Safonkinbc

a Laboratory of Representation Theory and Dynamical Systems, St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, 191023, Fontanka 27, St. Petersburg, Russia
b Skolkovo Institute of Science and Technology, Moscow, Russia
c National Research University Higher School of Economics, Moscow, Russia
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Abstract: Indecomposible semifinite harmonic functions on the direct product of graded graphs are classified. As a particular case, the full list of indecomposible traces for the infinite inverse symmetric semigroup is obtained.
Key words and phrases: semifinite traces, AF-algebras, harmonic functions, branching graphs, infinite inverse symmetric semigroup.
Funding agency Grant number
Russian Science Foundation 21-11-00152
HSE Basic Research Program
This work is supported by the Russian Science Foundation under grant No. 21-11-00152. The second author was partially supported by the Basic Research Program at the HSE University.
Received: 13.09.2022
Document Type: Article
UDC: 517-981
Language: English
Citation: P. Nikitin, N. Safonkin, “Semifinite harmonic functions on the direct product of graded graphs”, Representation theory, dynamical systems, combinatorial methods. Part XXXIV, Zap. Nauchn. Sem. POMI, 517, POMI, St. Petersburg, 2022, 125–150
Citation in format AMSBIB
\Bibitem{NikSaf22}
\by P.~Nikitin, N.~Safonkin
\paper Semifinite harmonic functions on the direct product of graded graphs
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 517
\pages 125--150
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7284}
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