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19932023
most citedIterated function systems, Ruelle operators, and invariant projective measures

144 citations · 1.1k across the 203 of their papers we have counts for

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26 papers · 1 filter

math.OA2018★ 3 cited

Purely atomic representations of higher-rank graph C*-algebras

Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen +2

We study purely atomic representations of C*-algebras associated to row-finite and source-free higher-rank graphs. We describe when purely atomic representations are unitarily equi…

math.OA2018★ 6 cited

Monic representations of finite higher-rank graphs

Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen +2

In this paper we define the notion of monic representation for the -algebras of finite higher-rank graphs with no sources, and undertake a comprehensive study of them. Monic r…

math.OA2018

Representations of higher-rank graph -algebras associated to -semibranching function systems

Carla Farsi, Elizabeth Gillaspy, Palle E. T. Jorgensen +2

In this paper, we discuss a method of constructing separable representations of the -algebras associated to strongly connected row-finite -graphs . We begin by giving an…

math.OA2017★ 2 cited

Separable representations of higher-rank graphs

Carla Farsi, Elizabeth Gillaspy, Palle Jorgensen +2

In this monograph we undertake a comprehensive study of separable representations (as well as their unitary equivalence classes) of -algebras associated to strongly connected…

math.OA2016

Representations of the canonical commutation relations--algebra and the operators of stochastic calculus

Palle Jorgensen, Feng Tian

We study a family of representations of the canonical commutation relations (CCR)-algebra (an infinite number of degrees of freedom), which we call admissible. The family of admiss…

math.OA2014★ 1 cited

Representations of Cuntz algebras associated to quasi-invariant Markov measures

Dorin Ervin Dutkay, Palle E. T. Jorgensen

In this paper, we answer the question of equivalence, or singularity, of two given quasi-stationary Markov measures on one-sided infinite words, and the corresponding question of e…