Zobrazeno 1 - 10
of 196
pro vyhledávání: '"Kubota, Yosuke"'
We compute the groupoid homology for the ample groupoids associated with algebraic actions from rings of algebraic integers and integral dynamics. We derive results for the homology of the topological full groups associated with rings of algebraic in
Externí odkaz:
http://arxiv.org/abs/2407.01952
In this paper, we introduce Kasparov's bivariant K-theory that is equivariant under symmetries of a C*-tensor category. It is motivated by some dualities in quantum group equivariant KK-theory, and the classification theory of inclusions of C*-algebr
Externí odkaz:
http://arxiv.org/abs/2305.07255
Publikováno v:
In Advances in Mathematics September 2024 453
Publikováno v:
Comm.Math.Phys. 395 (2022) 1211-1242
On a flat surface, the Landau operator, or quantum Hall Hamiltonian, has spectrum a discrete set of infinitely degenerate Landau levels. We consider surfaces with asymptotically constant curvature away from a possibly non-compact submanifold, the hel
Externí odkaz:
http://arxiv.org/abs/2201.05416
Autor:
Kubota, Yosuke
A Riemannian manifold is said to have infinite $\mathcal{KO}$-width if it admits an isometric immersion of an arbitrarily wide Riemannian band whose inward boundary has non-trivial higher index. In this paper we prove that if a closed spin manifold h
Externí odkaz:
http://arxiv.org/abs/2108.08506
Autor:
Kubota, Yosuke
A weak topological insulator in dimension $3$ is known to have a topologically protected gapless mode along the screw dislocation. In this paper we formulate and prove this fact with the language of C*-algebra K-theory. The proof is based on the coar
Externí odkaz:
http://arxiv.org/abs/2103.13277
Autor:
Kubota, Yosuke
This paper is devoted to the study of the higher index theory of codimension $2$ submanifolds originated by Gromov-Lawson and Hanke-Pape-Schick. The first main result is to construct the `codimension $2$ transfer' map from the Higson-Roe analytic sur
Externí odkaz:
http://arxiv.org/abs/2103.04741
Publikováno v:
Int.J.Math. 32 (2021) 2150078
We establish the twisted crystallographic T-duality, which is an isomorphism between Freed-Moore twisted equivariant K-groups of the position and momentum tori associated to an extension of a crystallographic group. The proof is given by identifying
Externí odkaz:
http://arxiv.org/abs/2102.00393
Autor:
Kubota, Yosuke
We give a proof of the index theorem of lattice Wilson--Dirac operators, which states that the index of a twisted Dirac operator on the standard torus is described in terms of the corresponding lattice Wilson--Dirac operator. Our proof is based on th
Externí odkaz:
http://arxiv.org/abs/2009.03570
Autor:
Kubota, Yosuke, Schick, Thomas
Publikováno v:
Geom. Topol. 25 (2021) 949-960
Gromov and Lawson developed a codimension 2 index obstruction to positive scalar curvature for a closed spin manifold M, later refined by Hanke, Pape and Schick. Kubota has shown that also this obstruction can be obtained from the Rosenberg index of
Externí odkaz:
http://arxiv.org/abs/1909.09584