By Dr Arnaud Brothier

Journal articles

Brothier A, 2023, 'Forest-skein groups II: Construction from homogeneously presented monoids', International Journal of Mathematics, 34, http://dx.doi.org/10.1142/S0129167X23500428

Brothier A, 2023, 'Classification of Thompson Related Groups Arising from Jones Technology I', International Mathematics Research Notices, 2023, pp. 5974 - 6044, http://dx.doi.org/10.1093/imrn/rnac031

Brothier A, 2023, 'Haagerup property for wreath products constructed with Thompson’s groups', Groups, Geometry, and Dynamics, 17, pp. 671 - 718, http://dx.doi.org/10.4171/GGD/714

Aiello V; Brothier A; Conti R, 2021, 'Jones representations of Thompson’s group F arising from temperley–lieb–jones algebras', International Mathematics Research Notices, 2021, pp. 11209 - 11245, http://dx.doi.org/10.1093/imrn/rnz240

Brothier A, 2020, 'Classification of Thompson related groups arising from Jones technology II', , http://arxiv.org/abs/2011.13124v2

Brothier A, 2020, 'Classification of Thompson related groups arising from Jones technology I', , http://arxiv.org/abs/2010.03765v3

Brothier A; Stottmeister A, 2020, 'Operator-Algebraic Construction of Gauge Theories and Jones’ Actions of Thompson’s Groups', Communications in Mathematical Physics, 376, pp. 841 - 891, http://dx.doi.org/10.1007/s00220-019-03603-4

Brothier A; Jones VFR, 2019, 'Pythagorean representations of Thompson's groups', Journal of Functional Analysis, 277, pp. 2442 - 2469, http://dx.doi.org/10.1016/j.jfa.2019.02.009

Brothier A; Jones VFR, 2019, 'On the Haagerup and Kazhdan properties of R. Thompson's groups', Journal of Group Theory, 22, pp. 795 - 807, http://dx.doi.org/10.1515/jgth-2018-0114

Brothier A, 2019, 'Haagerup property for wreath products constructed with Thompson's groups', Groups, Geometry, and Dynamics Volume 17, Issue 2, pages 671--718, 2023, http://arxiv.org/abs/1906.03789v3

Boutonnet R; Brothier A, 2018, 'Crossed-products by locally compact groups: Intermediate subfactors', Journal of Operator Theory, 79, pp. 101 - 137, http://dx.doi.org/10.7900/jot.2017jan19.2147

Brothier A; Deprez T; Vaes S, 2018, 'Rigidity for Von Neumann Algebras Given by Locally Compact Groups and Their Crossed Products', Communications in Mathematical Physics, 361, pp. 81 - 125, http://dx.doi.org/10.1007/s00220-018-3091-2

Brothier A, 2016, 'On fixed point planar algebras', Journal of Mathematical Physics, 57, http://dx.doi.org/10.1063/1.4967255

Brothier A; Wen C, 2016, 'The cup subalgebra has the absorbing amenability property', International Journal of Mathematics, 27, http://dx.doi.org/10.1142/S0129167X16500130

Brothier A; Jones VFR, 2015, 'Hilbert modules over a planar algebra and the Haagerup property', Journal of Functional Analysis, 269, pp. 3634 - 3644, http://dx.doi.org/10.1016/j.jfa.2015.09.013

Brothier A, 2015, 'Weak amenability for subfactors', International Journal of Mathematics, 26, http://dx.doi.org/10.1142/S0129167X15500482

Brothier A; Vaes S, 2015, 'Families of hyperfinite subfactors with the same standard invariant and prescribed fundamental group', Journal of Noncommutative Geometry, 9, pp. 775 - 796, http://dx.doi.org/10.4171/JNCG/207

Brothier A, 2014, 'The cup subalgebra of a II1 factor given by a subfactor planar algebra is maximal amenable', Pacific Journal of Mathematics, 269, pp. 19 - 29, http://dx.doi.org/10.2140/pjm.2014.269.19

Brothier A; Hartglass M; Penneys D, 2012, 'Rigid C*-tensor categories of bimodules over interpolated free group factors', Journal of Mathematical Physics, 53, http://dx.doi.org/10.1063/1.4769178

Brothier A, 2012, 'Unshaded planar algebras and their associated II 1 factors', Journal of Functional Analysis, 262, pp. 3839 - 3871, http://dx.doi.org/10.1016/j.jfa.2012.02.002

Brothier A, 2012, 'The Takesaki equivalence relation for maximal abelian subalgebras', MUENSTER JOURNAL OF MATHEMATICS, 5, pp. 59 - 71, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000410162000004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Working Papers

Brothier A, 2019, On Jones' connections between subfactors, conformal field theory, Thompson's groups and knots, http://dx.doi.org, http://arxiv.org/abs/1912.07140v2

Brothier A; Stottmeister A, 2019, Canonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach, http://dx.doi.org, http://arxiv.org/abs/1907.05549v1

Preprints

Brothier A; Wijesena D, 2023, Irreducible Pythagorean representations of R. Thompson's groups and of the Cuntz algebra, , http://arxiv.org/abs/2306.01256v1

Brothier A; Wijesena D, 2023, Decomposition of Pythagorean representations of R. Thompson's groups, , http://arxiv.org/abs/2302.04458v2

Brothier A, 2022, Forest-skein categories II: construction from homogeneously presented monoids, , http://arxiv.org/abs/2212.01993v1

Brothier A; Wijesena D, 2022, Jones' representations of R. Thompson's groups not induced by finite-dimensional ones, , http://arxiv.org/abs/2211.08555v1

Brothier A, 2022, Forest-skein groups I: between Vaughan Jones' subfactors and Richard Thompson's groups, , http://arxiv.org/abs/2207.03100v2

Brothier A; Stottmeister A, 2019, Canonical quantization of 1+1-dimensional Yang-Mills theory: An operator-algebraic approach, , http://dx.doi.org/10.48550/arxiv.1907.05549

Aiello V; Brothier A; Conti R, 2019, Jones representations of Thompson's group $F$ arising from Temperley-Lieb-Jones algebras, , http://dx.doi.org/10.48550/arxiv.1901.10597

Brothier A; Stottmeister A, 2019, Operator-algebraic construction of gauge theories and Jones' actions of Thompson's groups, , http://dx.doi.org/10.48550/arxiv.1901.04940

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