P. Nikitin, N. Safonkin, “Semifinite harmonic functions on the direct product of graded graphs”, Zap. Nauchn. Sem. POMI, 2022, Volume 517,Pages <nobr>125

Semifinite harmonic functions on the direct product of graded graphs

P. Nikitin^a, N. Safonkin^bc

^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

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.

UDC: 517-981

Received: 13.09.2022

Language: English