» Categorical dualtiy for Yetter-Drinfeld C*-algebras. Beyond the braided-commutative case
01/05/25 09:00 from math.OA updates on arXiv.org
arXiv:2504.21162v1 Announce Type: new Abstract: We develop a tensor categorical duality in the sprit of the Tannaka-Krein duality for the C*-algebras admitting the Yetter-Drinfeld module structure over a compact quantum group. Under this...

» Novel Proofs For Fundamental Identities Of Weierstrass Sigma And Jacobi Theta Functions
01/05/25 09:00 from math.CV updates on arXiv.org
arXiv:2504.21014v1 Announce Type: new Abstract: In this note, we describe a general procedure to prove functional equations involving quasi-periodic functions. We give novel proofs for fundamental identities of Weierstrass sigma and Jaco...

» A note on the quantum Wielandt inequality
01/05/25 09:00 from math.OA updates on arXiv.org
arXiv:2504.21638v1 Announce Type: cross Abstract: In this note, we show how to extend operator algebraic methods introduced by Rahaman to prove that the index of primitivity of any primitive Schwarz map is at most $2(D-1)^2$, where $D$ i...

» Iterated function systems of holomorphic maps
01/05/25 09:00 from math.CV updates on arXiv.org
arXiv:2504.21124v1 Announce Type: new Abstract: We unify and advance a host of works on iterated function systems of holomorphic self-maps of hyperbolic Riemann surfaces. Our foremost result is a generalisation to left iterated function ...

» Optimizing the ground state energy of the three-dimensional magnetic Dirichlet Laplacian with constant magnetic field
01/05/25 09:00 from math.SP updates on arXiv.org
arXiv:2504.21597v1 Announce Type: cross Abstract: This paper concerns the shape optimization problem of minimizing the ground state energy of the magnetic Dirichlet Laplacian with constant magnetic field among three-dimensional domains o...

» The local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$
01/05/25 09:00 from math.RT updates on arXiv.org
arXiv:2504.21002v1 Announce Type: new Abstract: In this paper, following the method developed by J.-L. Waldspurger and R. Beuzart-Plessis for Bessel models, we study two local relative trace formulas for the local twisted Gan-Gross-Prasa...

» Coarse Baum-Connes and warped cones: failure of surjectivity in odd degree
01/05/25 09:00 from math.OA updates on arXiv.org
arXiv:2504.21811v1 Announce Type: cross Abstract: We prove a conjecture of Roe by constructing unified warped cones that violate the coarse Baum-Connes conjecture. Interestingly, the reason for this is probably not what Roe expected, as ...

» A product of strongly quasi-nonexpansive mappings in Hadamard spaces
01/05/25 09:00 from math.FA updates on arXiv.org
arXiv:2504.21402v1 Announce Type: new Abstract: In this paper, we prove that the product of strongly quasi-nonexpansive $\Delta$-demiclosed mappings is also a strongly quasi-nonexpansive orbital $\Delta$-demiclosed mapping in Hadamard sp...