Results 41 to 50 of about 429 (123)
Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
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Strong subgroup recurrence and the Nevo–Stuck–Zimmer theorem
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let Γ$\Gamma$ be a countable group and Sub(Γ)$\mathrm{Sub}(\Gamma)$ its Chabauty space, namely, the compact Γ$\Gamma$‐space consisting of all subgroups of Γ$\Gamma$. We call a subgroup Δ∈Sub(Γ)$\Delta \in \mathrm{Sub}(\Gamma)$ a boomerang subgroup if for every γ∈Γ$\gamma \in \Gamma$, γniΔγ−ni→Δ$\gamma ^{n_i} \Delta \gamma ^{-n_i} \rightarrow ...
Yair Glasner, Waltraud Lederle
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Publications of the Research Institute for Mathematical Sciences, 1978 Let M be a smooth manifold, and ^l(M) the infinite dimensional Lie algebra of all smooth vector fields on M. Let 91 be 9l(M) or a certain natural subalgebra of it. We arc interested in the cohomology #*(9l; V) of $1 with coefficients in some representation V9 which is an invariant of the Lie algebra 21. In 1968, I. M. Gel'fand and D. B.
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Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
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Publications of the Research Institute for Mathematical Sciences, 1975 Let M be a smooth manifold, and 2l(M) the Lie algebra of all smooth vector fields on M. Assume that M admits a volume form T, a symplectic form CD or a contact form 9. Then we have natural Lie subalgebras of 2l(M) as 21T(M), 2l;(M), 9IW(M), 2l;o(M), 210(M) (see §1.1). These Lie algebras including 2l(M) itself are called of classical type.
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Reflections on the Spatial Exponential Growth of Electromagnetic Quasinormal Modes
Laser &Photonics Reviews, Volume 19, Issue 9, May 6, 2025.Quasinormal modes (QNMs) offer a robust framework for understanding the physics of resonators. However, conceptual challenges arise in regions distant from resonators, where QNM fields exponentially grow. This growth is not unphysical, but gives rise to counterintuitive effects, which is explained by examining fundamentals of non‐Hermitian systems ...
Tong Wu +2 more
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Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
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The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
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Local character expansions and asymptotic cones over finite fields
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We generalise Gelfand–Graev characters to R/Z$\mathbb {R}/\mathbb {Z}$‐graded Lie algebras and lift them to produce new test functions to probe the local character expansion in positive depth. We show that these test functions are well adapted to compute the leading terms of the local character expansion and relate their determination to the ...
Dan Ciubotaru, Emile Okada
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Optimal system and dynamics of optical soliton solutions for the Schamel KdV equation. [PDF]
Sci Rep, 2023 Hussain A +4 more
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