Search Results - "Brix, Kevin Aguyar"

Splittings for $C^$-correspondences and strong shift equivalence by Brix, Kevin Aguyar, Mundey, Alexander, Rennie, Adam

“…We present an extension of the notion of in-splits from symbolic dynamics to topological graphs and, more generally, to $C^*$-correspondences. We demonstrate…”
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Some results regarding the ideal structure of C∗$C^$‐algebras of étale groupoids by Brix, Kevin Aguyar, Carlsen, Toke Meier, Sims, Aidan

“…Abstract We prove a sandwiching lemma for inner‐exact locally compact Hausdorff étale groupoids. Our lemma says that every ideal of the reduced ‐algebra of…”
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CUNTZ–KRIEGER ALGEBRAS AND ONE-SIDED CONJUGACY OF SHIFTS OF FINITE TYPE AND THEIR GROUPOIDS by BRIX, KEVIN AGUYAR, CARLSEN, TOKE MEIER

“…A one-sided shift of finite type $(\mathsf{X}_{A},\unicode[STIX]{x1D70E}_{A})$ determines on the one hand a Cuntz–Krieger algebra ${\mathcal{O}}_{A}$ with a…”
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Invertible and noninvertible symbolic dynamics and their C-algebras by Brix, Kevin Aguyar

“…This paper surveys the recent advances in the interactions between symbolic dynamics and C*-algebras. We explain how conjugacies and orbit equivalences of both…”
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Sturmian subshifts and their C-algebras by Brix, Kevin Aguyar

“…This paper investigates the structure of C*-algebras built from one-sided Sturmian subshifts. They are parametrised by irrationals in the unit interval and…”
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On strong shift equivalence for row-finite graphs and C-algebras by Brix, Kevin Aguyar, Gautam, Pete

“…Involve 17 (2024) 293-309 This note extends and strengthens a theorem of Bates that says that row-finite graphs that are strong shift equivalent have Morita…”
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Morphisms of Cuntz-Pimsner algebras from completely positive maps by Brix, Kevin Aguyar, Mundey, Alexander, Rennie, Adam

“…We introduce positive correspondences as right C*-modules with left actions given by completely positive maps. Positive correspondences form a semi-category…”
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Splittings for C-correspondences and strong shift equivalence by Brix, Kevin Aguyar, Mundey, Alexander, Rennie, Adam

“…We present an extension of the notion of in-splits from symbolic dynamics to topological graphs and, more generally, to C*-correspondences. We demonstrate that…”
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Balanced strong shift equivalence, balanced in-splits, and eventual conjugacy by Brix, Kevin Aguyar

“…We introduce the notion of balanced strong shift equivalence between square nonnegative integer matrices, and show that two finite graphs with no sinks are…”
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Unital aligned shift equivalence and the graded classification conjecture for Leavitt path algebras by Brix, Kevin Aguyar, Dor-On, Adam, Hazrat, Roozbeh, Ruiz, Efren

“…We prove that a unital shift equivalence induces a graded isomorphism of Leavitt path algebras when the shift equivalence satisfies an alignment condition…”
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Minimal covers with continuity-preserving transfer operators for topological dynamical systems by Brix, Kevin Aguyar, Hume, Jeremy B, Li, Xin

“…Given a non-invertible dynamical system with a transfer operator, we show there is a minimal cover with a transfer operator that preserves continuous…”
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Maximal ideals of reduced group C-algebras and Thompson's groups by Brix, Kevin Aguyar, Bruce, Chris, Li, Kang, Scarparo, Eduardo

“…Given a conditional expectation $P$ from a C*-algebra $B$ onto a C*-subalgebra $A$, we observe that induction of ideals via $P$, together with a map which we…”
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Normal coactions extend to the C-envelope by Brix, Kevin Aguyar, Bruce, Chris, Dor-On, Adam

“…We show that a normal coaction of a discrete group on an operator algebra extends to a normal coaction on the C*-envelope. This resolves an open problem…”
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Ideal structure of C-algebras of commuting local homeomorphisms by Brix, Kevin Aguyar, Carlsen, Toke Meier, Sims, Aidan

“…We determine the primitive ideal space and hence the ideal lattice of a large class of separable groupoid C*-algebras that includes all 2-graph C*-algebras. A…”
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mathrm{C^}-algebras, groupoids and covers of shift spaces by Kevin Aguyar Brix, Toke Meier Carlsen

“…To every one-sided shift space \mathsf {X} we associate a cover \widetilde {\mathsf {X}}, a groupoid \mathcal {G}_\mathsf {X} and a \mathrm {C^*}-algebra…”
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Some results regarding the ideal structure of C-algebras of \'etale groupoids by Brix, Kevin Aguyar, Carlsen, Toke Meier, Sims, Aidan

“…We prove a sandwiching lemma for inner-exact locally compact Hausdorff \'etale groupoids. Our lemma says that every ideal of the reduced $C^*$-algebra of such…”
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C^$-simplicity and representations of topological full groups of groupoids by Brix, Kevin Aguyar, Scarparo, Eduardo

“…Journal of Functional Analysis Volume 277, Issue 9, 1 November 2019, Pages 2981-2996 Given an ample groupoid $G$ with compact unit space, we study the…”
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Conjugacy of local homeomorphisms via groupoids and C-algebras by Armstrong, Becky, Brix, Kevin Aguyar, Carlsen, Toke Meier, Eilers, Søren

“…Ergodic Theory Dynam. Systems 43 (2023), 2516--2537 We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially…”
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C-algebras, groupoids and covers of shift spaces by Brix, Kevin Aguyar, Carlsen, Toke Meier

“…Trans. Amer. Math. Soc. Ser. B 7 (2020), 134-185 To every one-sided shift space $\mathsf{X}$ we associate a cover $\tilde{\mathsf{X}}$, a groupoid…”
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Cuntz-Krieger algebras and one-sided conjugacy of shifts of finite type and their groupoids by Brix, Kevin Aguyar, Carlsen, Toke Meier

“…J. Aust. Math. Soc. 109 (2020), no. 3, 289-298 A one-sided shift of finite type $(X_A,\sigma_A)$ determines on the one hand a Cuntz-Krieger algebra…”
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