95 citations · 1.1k across the 75 of their papers we have counts for
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Hecke algebras of semidirect products and the finite part of the Connes-Marcolli C*-algebra
Marcelo Laca, Nadia S. Larsen, Sergey Neshveyev
We study a C*-dynamical system arising from the ring inclusion of the 2\times 2 integer matrices in the rational ones. The orientation preserving affine groups of these rings form…
Phase transition in the Connes-Marcolli GL2-system
Marcelo Laca, Nadia Larsen, Sergey Neshveyev
We develop a general framework for analyzing KMS-states on C*-algebras arising from actions of Hecke pairs. We then specialize to the system recently introduced by Connes and Marco…
The ratio set of the harmonic measure of a random walk on a hyperbolic group
Masaki Izumi, Sergey Neshveyev, Rui Okayasu
We consider the harmonic measure on the Gromov boundary of a nonamenable hyperbolic group defined by a finite range random walk on the group, and study the corresponding orbit equi…