output
20082024
most citedEquivalence and stable isomorphism of groupoids, and diagonal-preserving stable isomorphisms of graph C*-algebras and Leavitt path algebras

58 citations

41 papers

cond-mat.str-el2024★ 3 cited

Gross-Neveu-Yukawa SO(2) and SO(3) tensorial criticality

SangEun Han, Shouryya Ray, Igor F. Herbut

We investigate the relativistic SO(2)- and SO(3)-invariant Gross-Neveu-Yukawa field theories for real, rank-two, symmetric, traceless tensor order parameters coupled to $N_{\text{f…

cond-mat.str-el2023★ 6 cited

The Nordic-walking mechanism and its explanation of deconfined pseudocriticality from Wess-Zumino-Witten theory

Bilal Hawashin, Astrid Eichhorn, Lukas Janssen +2

The understanding of phenomena falling outside the Ginzburg-Landau paradigm of phase transitions represents a key challenge in condensed matter physics. A famous class of examples…

math.OA2021★ 11 cited

Conjugacy of local homeomorphisms via groupoids and C*-algebras

Becky Armstrong, Kevin Aguyar Brix, Toke Meier Carlsen +1

We investigate dynamical systems consisting of a locally compact Hausdorff space equipped with a partially defined local homeomorphism. Important examples of such systems include s…

cs.LG2021

Roughsets-based Approach for Predicting Battery Life in IoT

Rajesh Kaluri, Dharmendra Singh Rajput, Qin Xin +4

Internet of Things (IoT) and related applications have successfully contributed towards enhancing the value of life in this planet. The advanced wireless sensor networks and its re…

math.OA2020★ 9 cited

Shift equivalences through the lens of Cuntz-Krieger algebras

Toke Meier Carlsen, Adam Dor-On, Søren Eilers

Motivated by Williams' problem of measuring novel differences between shift equivalence (SE) and strong shift equivalence (SSE), we introduce three equivalence relations that provi…

math.OA2019★ 6 cited

Gauge-invariant ideals of C*-algebras of Boolean dynamical systems

Toke Meier Carlsen, Eun Ji Kang

We enlarge the class of -algebras of Boolean dynamical systems in order to include all weakly left-resolving normal labelled space -algebras in it. We prove a gauge-invar…

math.OA2019★ 4 cited

Condition (K) for Boolean dynamical systems

Toke Meier Carlsen, Eun Ji Kang

We generalize Condition (K) from directed graphs to Boolean dynamical systems and show that a locally finite Boolean dynamical system with countable $…

math.OA2019★ 10 cited

C*-algebras, groupoids and covers of shift spaces

Kevin Aguyar Brix, Toke Meier Carlsen

To every one-sided shift space we associate a cover , a groupoid and a -algebra …

cs.NI2019★ 34 cited

A Console GRID LA Console GRID Leveraged Authentication and Key Agreement Mechanism for LTE/SAE

Rajakumar Arul, Gunasekaran Raja, Ali Kashif Bashir +2

The growing popularity of multimedia applications, pervasive connectivity, higher bandwidth, and euphoric technology penetration among the bulk of the human race that happens to be…

math.OA2019★ 2 cited

Orbit equivalence of higher-rank graphs

Toke Meier Carlsen, James Rout

We study the notions of continuous orbit equivalence and eventual one-sided conjugacy of finitely-aligned higher-rank graphs and two-sided conjugacy of row-finite higher-rank graph…

cs.NI2019★ 21 cited

Socially-Aware Congestion Control in Ad-Hoc Networks: Current Status and The Way Forward

Hannan Bin Liaqat, Amjad Ali, Junaid Qadir +3

Ad-hoc social networks (ASNETs) represent a special type of traditional ad-hoc network in which a user's social properties (such as the social connections and communications metada…

math.OA2018★ 3 cited

Topological freeness for -correspondences

T. M. Carlsen, B. K. Kwasniewski, E. Ortega

We study conditions that ensure uniqueness theorems of Cuntz-Krieger type for relative Cuntz-Pimsner algebras associated to a -correspondence over a $C^…

math.OA2017★ 15 cited

Cuntz-Krieger algebras and one-sided conjugacy of shifts of finite type and their groupoids

Kevin Aguyar Brix, Toke Meier Carlsen

A one-sided shift of finite type determines on the one hand a Cuntz-Krieger algebra with a distinguished abelian subalgebra and a certai…

math.OA2017★ 38 cited

Reconstruction of groupoids and C*-rigidity of dynamical systems

Toke Meier Carlsen, Efren Ruiz, Aidan Sims +1

We show how to construct a graded locally compact Hausdorff étale groupoid from a C*-algebra carrying a coaction of a discrete group, together with a suitable abelian subalgebra. W…

cs.NI2017

Latency Optimal Broadcasting in Noisy Wireless Mesh Networks

Qin Xin, Yan Xia

In this paper, we adopt a new noisy wireless network model introduced very recently by Censor-Hillel et al. in [ACM PODC 2017, CHHZ17]. More specifically, for a given noise paramet…

math.RA2016★ 21 cited

Diagonal-preserving graded isomorphisms of Steinberg algebras

Toke Meier Carlsen, James Rout

We study Steinberg algebras constructed from ample Hausdorff groupoids over commutative integral domains with identity. We reconstruct (graded) groupoids from (graded) Steinberg al…

math.OA2016★ 45 cited

The complete classification of unital graph -algebras: Geometric and strong

Søren Eilers, Gunnar Restorff, Efren Ruiz +1

We provide a complete classification of the class of unital graph -algebras - prominently containing the full family of Cuntz-Krieger algebras - showing that Morita equivalenc…

math.RA2016★ 7 cited

Filtered K-theory for graph algebras

Søren Eilers, Gunnar Restorff, Efren Ruiz +1

We introduce filtered algebraic -theory of a ring relative to a sublattice of ideals. This is done in such a way that filtered algebraic -theory of a Leavitt path algebra…

math.OA2016★ 41 cited

Diagonal-preserving gauge-invariant isomorphisms of graph -algebras

Toke Meier Carlsen, James Rout

We study graph -algebras equipped with generalised gauge actions, and characterise in terms of groupoids and groupoid cocycles when two graph -algebras are isomorphic by…

math.DS2016★ 36 cited

Flow equivalence and orbit equivalence for shifts of finite type and isomorphism of their groupoids

Toke Meier Carlsen, Søren Eilers, Eduard Ortega +1

We give conditions for when continuous orbit equivalence of one-sided shift spaces implies flow equivalence of the associated two-sided shift spaces. Using groupoid techniques, we…

math.DS2016★ 16 cited

Orbit equivalence of graphs and isomorphism of graph groupoids

Toke Meier Carlsen, Marius Lie Winger

We show that the groupoids of two directed graphs are isomorphic if and only if the two graphs are orbit equivalent by an orbit equivalence that preserves isolated eventually perio…

math.OA2016★ 6 cited

Strong classification of purely infinite Cuntz-Krieger algebras

Toke Meier Carlsen, Gunnar Restorff, Efren Ruiz

In 2006, Restorff completed the classification of all Cuntz-Krieger algebras with finitely many ideals (i.e., those that are purely infinite) up to stable isomorphism. He left open…

math.OA2016★ 41 cited

Geometric classification of graph -algebras over finite graphs

Søren Eilers, Gunnar Restorff, Efren Ruiz +1

We address the classification problem for graph -algebras of finite graphs (finitely many edges and vertices), containing the class of Cuntz-Krieger algebras as a prominent sp…

math.OA2016★ 4 cited

Invariance of the Cuntz splice

Søren Eilers, Gunnar Restorff, Efren Ruiz +1

We show that the Cuntz splice induces stably isomorphic graph -algebras.