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Unbounded bivariant K-theory and correspondences in noncommutative geometry

Journal für die reine und angewandte Mathematik, 2014-06, Vol.2014 (691), p.101-172

Mesland, Bram

2014

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Gauge Theory on Noncommutative Riemannian Principal Bundles

Communications in mathematical physics, 2021-11, Vol.388 (1), p.107-198

2021

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Localised Module Frames and Wannier Bases from Groupoid Morita Equivalences

The Journal of fourier analysis and applications, 2021-08, Vol.27 (4), Article 69

2021

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A Groupoid Approach to Interacting Fermions

Communications in mathematical physics, 2022-08, Vol.394 (1), p.143-213

2022

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Equal rank local theta correspondence as a strong Morita equivalence

Selecta mathematica (Basel, Switzerland), 2024-09, Vol.30 (4), Article 72

2024

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Shift–tail equivalence and an unbounded representative of the Cuntz–Pimsner extension

Ergodic theory and dynamical systems, 2018-06, Vol.38 (4), p.1389-1421

2018

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The Friedrichs angle and alternating projections in Hilbert C⁎-modules

Journal of mathematical analysis and applications, 2022-12, Vol.516 (1), p.126474, Article 126474

2022

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Spectral triples and finite summability on Cuntz–Krieger algebras

Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung., 2015, Vol.20, p.89-170

2015

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Sums of regular self-adjoint operators in Hilbert-C⁎-modules

Journal of mathematical analysis and applications, 2019-04, Vol.472 (1), p.947-980

2019

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Nonunital spectral triples and metric completeness in unbounded KK-theory

Journal of functional analysis, 2016-11, Vol.271 (9), p.2460-2538

2016

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Classifying the dynamics of architected materials by groupoid methods

Journal of geometry and physics, 2024-02, Vol.196, p.105059, Article 105059

2024

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Gauge theory for spectral triples and the unbounded Kasparov product

Journal of noncommutative geometry, 2016-01, Vol.10 (1), p.135-206

2016

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Addendum to: “The Friedrichs angle and alternating projections in Hilbert C⁎-modules” [J. Math. Anal. Appl. 516 (2022) 126474]

Journal of mathematical analysis and applications, 2023-06, Vol.522 (1), p.127002, Article 127002

2023

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Operator ∗‐correspondences in analysis and geometry

Proceedings of the London Mathematical Society, 2018-08, Vol.117 (2), p.303-344

2018

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Homotopy equivalence in unbounded KK-theory

Annals of K-Theory, 2020-01, Vol.5 (3), p.501-537

2020

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Correction to: Toeplitz Extensions in Noncommutative Topology and Mathematical Physics

Geometric Methods in Physics XXXVIII, 2021, p.C1-C1

2021

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Toeplitz Extensions in Noncommutative Topology and Mathematical Physics

Geometric Methods in Physics XXXVIII, p.3-29

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Wieler solenoids, Cuntz–Pimsner algebras and $K$ -theory

Ergodic theory and dynamical systems, 2018-12, Vol.38 (8), p.2942-2988

2018

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Hecke operators in $KK$-theory and the $K$-homology of Bianchi groups

Journal of noncommutative geometry, 2020-01, Vol.14 (1), p.125-189

2020

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Boundaries, spectral triples and $K$-homology

Journal of noncommutative geometry, 2019-01, Vol.13 (2), p.407-472

2019

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Wieler solenoids, Cuntz–Pimsner algebras and -theory

Ergodic theory and dynamical systems, 2018-12, Vol.38 (8), p.2942-2988

2018

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A K-Theoretic Selberg Trace Formula

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology, 2020, Vol.278, p.403-424

2020

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Hecke modules for arithmetic groups via bivariant K-theory

Annals of K-Theory, 2018-01, Vol.3 (4), p.631-656

2018

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Mini-Workshop: Operator Spaces and Noncommutative Geometry in Interaction

Oberwolfach reports, 2016-10, Vol.13 (1), p.267-295

2016

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Spectral Triples on ON

2016 MATRIX Annals, p.183-201

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Unbounded bivariant K-theory and correspondences in noncommutative geometry

Gauge Theory on Noncommutative Riemannian Principal Bundles

Localised Module Frames and Wannier Bases from Groupoid Morita Equivalences

A Groupoid Approach to Interacting Fermions

Equal rank local theta correspondence as a strong Morita equivalence

Shift–tail equivalence and an unbounded representative of the Cuntz–Pimsner extension

The Friedrichs angle and alternating projections in Hilbert C⁎-modules

Spectral triples and finite summability on Cuntz–Krieger algebras

Sums of regular self-adjoint operators in Hilbert-C⁎-modules

Nonunital spectral triples and metric completeness in unbounded KK-theory

Classifying the dynamics of architected materials by groupoid methods

Gauge theory for spectral triples and the unbounded Kasparov product

Addendum to: “The Friedrichs angle and alternating projections in Hilbert C⁎-modules” [J. Math. Anal. Appl. 516 (2022) 126474]

Operator ∗‐correspondences in analysis and geometry

Homotopy equivalence in unbounded KK-theory

Correction to: Toeplitz Extensions in Noncommutative Topology and Mathematical Physics

Toeplitz Extensions in Noncommutative Topology and Mathematical Physics

Wieler solenoids, Cuntz–Pimsner algebras and $K$ -theory

Hecke operators in $KK$-theory and the $K$-homology of Bianchi groups

Boundaries, spectral triples and $K$-homology

Wieler solenoids, Cuntz–Pimsner algebras and -theory

A K-Theoretic Selberg Trace Formula

Hecke modules for arithmetic groups via bivariant K-theory

Mini-Workshop: Operator Spaces and Noncommutative Geometry in Interaction

Spectral Triples on ON

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