Search Results - "Mesland, Bram"

Gauge Theory on Noncommutative Riemannian Principal Bundles by Ćaćić, Branimir, Mesland, Bram

“…We present a new, general approach to gauge theory on principal G -spectral triples, where G is a compact connected Lie group. We introduce a notion of…”
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Localised Module Frames and Wannier Bases from Groupoid Morita Equivalences by Bourne, Chris, Mesland, Bram

“…Following the operator algebraic approach to Gabor analysis, we construct frames of translates for the Hilbert space localisation of the Morita equivalence…”
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A Groupoid Approach to Interacting Fermions by Mesland, Bram, Prodan, Emil

“…We consider the algebra Σ ˙ ( L ) generated by the inner-limit derivations over the GICAR algebra of a fermion gas populating an aperiodic Delone set L . Under…”
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Equal rank local theta correspondence as a strong Morita equivalence by Mesland, Bram, Şengün, Mehmet Haluk

“…Let ( G ,  H ) be one of the equal rank reductive dual pairs M p 2 n , O 2 n + 1 or U n , U n over a nonarchimedean local field of characteristic zero. It is…”
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Spectral triples and finite summability on Cuntz–Krieger algebras by Goffeng, Magnus, Mesland, Bram

“…We produce a variety of odd bounded Fredholm modules and odd spectral triples on Cuntz–Krieger algebras by means of realizing these algebras as “the algebra of…”
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The Friedrichs angle and alternating projections in Hilbert C⁎-modules by Mesland, Bram, Rennie, Adam

“…Let B be a C⁎-algebra, X a Hilbert C⁎-module over B and M,N⊂X a pair of complemented submodules. We prove the C⁎-module version of von Neumann's alternating…”
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Nonunital spectral triples and metric completeness in unbounded KK-theory by Mesland, Bram, Rennie, Adam

“…We consider the general properties of bounded approximate units in non-self-adjoint operator algebras. Such algebras arise naturally from the differential…”
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Classifying the dynamics of architected materials by groupoid methods by Mesland, Bram, Prodan, Emil

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Curvature and Weitzenböck formula for spectral triples by Mesland, Bram, Rennie, Adam

“…Abstract Using the Levi‐Civita connection on the noncommutative differential 1‐forms of a spectral triple , we define the full Riemann curvature tensor, the…”
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Addendum to: “The Friedrichs angle and alternating projections in Hilbert C⁎-modules” [J. Math. Anal. Appl. 516 (2022) 126474] by van den Dungen, Koen, Mesland, Bram, Rennie, Adam

“…We show by (counter)example that the intersection of complemented submodules in a Hilbert C⁎-module is not necessarily complemented, answering the last open…”
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Curvature of differentiable Hilbert modules and Kasparov modules by Mesland, Bram, Rennie, Adam, van Suijlekom, Walter D.

“…In this paper we introduce the curvature of densely defined universal connections on Hilbert C⁎-modules relative to a spectral triple (or unbounded Kasparov…”
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Operator ∗‐correspondences in analysis and geometry by Blecher, David, Kaad, Jens, Mesland, Bram

“…An operator ∗‐algebra is a non‐self‐adjoint operator algebra with completely isometric involution. We show that any operator ∗‐algebra admits a faithful…”
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Curvature and Weitzenbock formula for the Podle\'{s} quantum sphere by Mesland, Bram, Rennie, Adam

“…We prove that there is a unique Levi-Civita connection on the one-forms of the Dabrowski-Sitarz spectral triple for the Podle\'{s} sphere $S^{2}_{q}$. We…”
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Curvature and Weitzenbock formula for spectral triples by Mesland, Bram, Rennie, Adam

“…Using the Levi-Civita connection on the noncommutative differential one-forms of a spectral triple $(\B,\H,\D)$, we define the full Riemann curvature tensor,…”
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Existence and uniqueness of the Levi-Civita connection on noncommutative differential forms by Mesland, Bram, Rennie, Adam

“…We combine Hilbert module and algebraic techniques to give necessary and sufficient conditions for the existence of an Hermitian torsion-free connection on the…”
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Classifying the Dynamics of Architected Materials by Groupoid Methods by Mesland, Bram, Prodan, Emil

“…Journal of Geometry and Physics 196, 105059 (2024) We consider synthetic materials consisting of self-coupled identical resonators carrying classical internal…”
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A groupoid approach to interacting fermions by Mesland, Bram, Prodan, Emil

“…Commun. Math. Phys. 394, 143-213 (2022) We consider the algebra $\dot\Sigma(\mathcal L)$ generated by the inner-limit derivations over the ${\rm GICAR}$…”
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The logarithmic Dirichlet Laplacian on Ahlfors regular spaces by Gerontogiannis, Dimitris Michail, Mesland, Bram

“…We introduce the logarithmic analogue of the Laplace-Beltrami operator on Ahlfors regular metric-measure spaces. This operator is intrinsically defined with…”
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The Friedrichs angle and alternating projections in Hilbert $C^{}$-modules by Mesland, Bram, Rennie, Adam

“…J. Math. Anal. Appl. 516 (1) 1 (2022) 126474 Let $B$ be a $C^{*}$-algebra, $X$ a Hilbert $C^{*}$-module over $B$ and $M,N\subset X$ a pair of complemented…”
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Gauge theory on noncommutative Riemannian principal bundles by Ćaćić, Branimir, Mesland, Bram

“…Commun. Math. Phys. 388, 107-198 (2021) We present a new, general approach to gauge theory on principal $G$-spectral triples, where $G$ is a compact connected…”
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