Results 111 to 120 of about 124,800 (224)
Serre–Swan theorem for non-commutative -algebras [PDF]
Journal of Geometry and Physics, 2003 We generalize the Serre-Swan theorem to non-commutative C$^{*}$-algebras. For a Hilbert C$^{*}$-module $X$ over a C$^{*}$-algebra ${\cal A}$, we introduce a hermitian vector bundle $\exx$ associated to $X$. We show that there is a linear subspace $Γ_{X}$ of the space of all holomorphic sections of ${\cal E}_{X}$ and a flat connection $D$ on ${\cal E}_ ...
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Algebraicity of ratios of special L$L$‐values for GL(n)$\mathrm{GL}(n)$
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We prove, under certain assumptions, the algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ′)$L(m, \Pi \times \chi)/L(m, \Pi \times \chi ^{\prime })$, where Π$\Pi$ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)$\mathrm{GL}_n(\mathbb {A}_\mathbb {Q})$, and χ$\chi$, χ′$\chi ^{\prime }$ are finite‐order Hecke characters such ...
Ankit Rai, Gunja Sachdeva
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Post-quantum commutative encryption algorithm [PDF]
Computer Science Journal of Moldova, 2019 To provide possibility to design the commutative encryption algorithms on the basis of new versions of the hidden discrete logarithm problem, the term "commutativity" is interpreted in the extended sense.
A.A. Moldovyan +2 more
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The algebraic structure of non-commutative analytic Toeplitz algebras
Mathematische Annalen, 1998 Suppose that \({\mathcal L}_n\) is a noncommutative analytic Toeplitz algebra defined by the left regular representation of the free semigroup \({\mathcal F}_n\) on \(n\) generators \(z_1,\dots, z_n\) which acts on \(\ell^2({\mathcal F}_n)\) by \(\Lambda(w)\xi_u= \xi_{wu}\) for \(v\), \(w\) in \({\mathcal F}_n\). The authors prove that automorphisms of
Davidson, Kenneth R., Pitts, David R.
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Tensorial permanence of K$K$‐stability for diagonal AH‐algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study K$K$‐stability for tensor products of diagonal AH‐algebras with arbitrary C*‐algebras. Our main result provides a characterization of K$K$‐stability: For a diagonal AH‐algebra A=lim→(Ai,φi)$A = \varinjlim (A_i, \varphi _i)$, A⊗B$A \otimes B$ is K$K$‐stable for every C*‐algebra B$B$ if and only if the sizes of the matrix blocks in the ...
Apurva Seth
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A note on categorical entropy of bielliptic surfaces and Enriques surfaces
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this note, we show that there exists an autoequivalence of positive categorical entropy on the derived category of bielliptic surfaces. This gives the first example of a surface admitting positive categorical entropy in the absence of both positive topological entropy and any spherical objects.
Tomoki Yoshida
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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Manifestly unitary higher Hilbert spaces
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Higher idempotent completion gives a formal inductive construction of the n$n$‐category of finite‐dimensional n$n$‐vector spaces starting with the complex numbers. We propose a manifestly unitary construction of low‐dimensional higher Hilbert spaces, formally constructing the C∗$\mathrm{C}^*$‐3‐category of 3‐Hilbert spaces from Baez's 2 ...
Quan Chen +4 more
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Stabilization of Poincaré duality complexes and homotopy gyrations
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
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Post-quantum public key-agreement scheme based on a new form of the hidden logarithm problem [PDF]
Computer Science Journal of Moldova, 2019 A new form of the hidden discrete logarithm problem, proposed as primitive of the post-quantum public-key cryptoschemes, is defined over the 6-dimensional finite non-commutative associative algebra with a large set of the left-sided global units.
D.N. Moldovyan
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