Results 81 to 90 of about 11,887 (225)
Linear independence of coherent systems associated to discrete subgroups
Bulletin of the London Mathematical Society, Volume 57, Issue 2, Page 315-329, February 2025.Abstract This note considers the finite linear independence of coherent systems associated to discrete subgroups. We show by simple arguments that such coherent systems of amenable groups are linearly independent whenever the associated twisted group ring does not contain any nontrivial zero divisors.
Ulrik Enstad, Jordy Timo van Velthoven
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Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibres
Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.Abstract We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and at certain non‐generic stability conditions via a study of collapsing fibres in the associated variation of GIT map, unifying and generalising earlier results of the ...
Lukas Bertsch +2 more
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Derivations and Extensions in JC‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.A well‐known result by Upmeier states that every derivation on a universally reversible JC‐algebra A⊆B(H)sa extends to the C∗‐algebra [A] generated by A in B(H). In this paper, we significantly strengthen this result by proving that every Jordan derivation on a universally reversible JC‐algebra A extends to ∗‐derivations on its universal enveloping ...
Fatmah B. Jamjoom +2 more
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Gudder–Nagy’s Theorem for Hilbert K(H)‐Modules
Journal of Mathematics, Volume 2025, Issue 1, 2025.We show in this paper Gudder–Nagy’s theorem for operators on Hilbert C∗‐modules over C∗‐algebra of compact operators. Let H be a complex Hilbert space with dim H > 1, and K(H) the C∗‐algebra of compact operators on H. For bounded K(H)‐linear operators A, B and C on Hilbert C∗‐module X over K(H), we show that 〈Ax, x〉〈Bx, x〉 = 〈x, x〉〈Cx, x〉, for all x ...
Ming-Hsiu Hsu, Ljubisa Kocinac
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Actions on classifiable C*‐algebras without equivariant property (SI)
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3623-3633, December 2024.Abstract We exhibit examples of actions of countable discrete groups on both simple and non‐simple nuclear stably finite C*‐algebras that are tracially amenable but not amenable. We furthermore obtain that, under the additional assumption of strict comparison, amenability is equivalent to tracial amenability plus the equivariant analogue of Matui–Sato ...
Eusebio Gardella +2 more
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On noncommutative distributional Khintchine type inequalities
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
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Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds
Journal of Topology, Volume 17, Issue 1, March 2024.Abstract We calculate the rational cohomology of the classifying space of the diffeomorphism group of the manifolds Ug,1n:=#g(Sn×Sn+1)∖int(D2n+1)$U_{g,1}^n:= \#^g(S^n \times S^{n+1})\setminus \mathrm{int}(D^{2n+1})$, for large g$g$ and n$n$, up to degree n−3$n-3$.
Johannes Ebert, Jens Reinhold
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Subalgebras, subgroups, and singularity
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 380-395, January 2024.Abstract This paper is concerned with the noncommutative analog of the normal subgroup theorem for certain groups. Inspired by Kalantar and Panagopoulos (arXiv:2108.02928, 2021, 16), we show that all Γ$\Gamma$‐invariant subalgebras of LΓ$L\Gamma$ and Cr∗(Γ)$C^*_r(\Gamma )$ are (Γ$\Gamma$‐)coamenable.
Tattwamasi Amrutam, Yair Hartman
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Similarity of C1: Operators and the Hyperinvariant Subspace Problem
Journal of Mathematics, Volume 2024, Issue 1, 2024.In the present paper, we first show that the existence of the solutions of the operator equation S∗XT = X is related to the similarity of operators of class C1., and then we give a sufficient condition for the existence of nontrivial hyperinvariant subspaces. These subspaces are the closure of ranφ(T) for some singular inner functions φ.
Abdelkader Segres +3 more
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Highly Entangled Stationary States from Strong Symmetries
Physical Review XWe find that the presence of strong non-Abelian symmetries can lead to highly entangled stationary states even for unital quantum channels. We derive exact expressions for the bipartite logarithmic negativity, Rényi negativities, and operator space ...
Yahui Li +3 more
doaj +1 more source