Topological full groups of ultragraph groupoids as an isomorphism invariant
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Publication:5854556
DOI10.17879/59019520638zbMath1481.22005arXiv1912.10465MaRDI QIDQ5854556
Daniel Gonçalves, Daniel W. van Wyk, Gilles Gonçalves de Castro
Publication date: 17 March 2021
Full work available at URL: https://arxiv.org/abs/1912.10465
Noncommutative dynamical systems (46L55) Topological groupoids (including differentiable and Lie groupoids) (22A22) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Combinatorial aspects of groups and algebras (05E16)
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KMS states and continuous orbit equivalence for ultragraph shift spaces with sinks ⋮ Matui's AH conjecture for graph groupoids ⋮ Properties of the gradings on ultragraph algebras via the underlying combinatorics ⋮ Realizing ultragraph Leavitt path algebras as Steinberg algebras ⋮ Characterizing Rickart and Baer ultragraph Leavitt path algebras ⋮ On the ideals of ultragraph Leavitt path algebras ⋮ On ultragraph Leavitt path algebras with finite Gelfand-Kirillov dimension ⋮ Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems ⋮ Shadowing, finite order shifts and ultrametric spaces
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