Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Schochet, Claude L."'
Specific types of spatial defects or potentials can turn monolayer graphene into a topological material. These topological defects are classified by a spatial dimension $D$ and they are systematically obtained from the Hamiltonian by means of its sym
Externí odkaz:
http://arxiv.org/abs/2304.08905
Publikováno v:
J. Geom. Physics 165 (2021), 104217
The purpose of this paper is to show the relationship in all dimensions between the structural (diffraction pattern) aspect of tilings (described by \v{C}ech cohomology of the tiling space) and the spectral properties (of Hamiltonians defined on such
Externí odkaz:
http://arxiv.org/abs/2007.15961
Autor:
Schochet, Claude L.
This is an expository note focused upon one example, the irrational rotation $C^*$-algebra. We discuss how this algebra arises in nature - in quantum mechanics, group actions, and foliations, and we explain how $K$-theory is used to get information o
Externí odkaz:
http://arxiv.org/abs/1711.08558
Autor:
Kaminker, Jerome, Schochet, Claude L.
Classical Spanier-Whitehead duality was introduced for the stable homotopy category of finite CW complexes. Here we provide a comprehensive treatment of a noncommutative version, termed Spanier-Whitehead $K$-duality, which is defined on the category
Externí odkaz:
http://arxiv.org/abs/1609.00409
Autor:
Schochet, Claude L.
Supppose given a principal $G$ bundle $\zeta : P \to S^k$ (with $k \geq 2$) and a Banach algebra $B$ upon which $G$ acts continuously. Let \[ \zeta\otimes B : \qquad P \times_G B \longrightarrow S^k \] denote the associated bundle and let \[ A_{\zeta
Externí odkaz:
http://arxiv.org/abs/1209.4131
Suppose that $B$ is a $G$-Banach algebra over $\mathbb{F} = \mathbb{R}$ or $\mathbb{C}$, $X$ is a finite dimensional compact metric space, $\zeta : P \to X$ is a standard principal $G$-bundle, and $A_\zeta = \Gamma (X, P \times_G B)$ is the associate
Externí odkaz:
http://arxiv.org/abs/1101.0444
Let $A$ be a unital $C^*$-algebra. Its unitary group, $UA$, contains a wealth of topological information about $A$. However, the homotopy type of $UA$ is out of reach even for $A = M_2(\CC)$. There are two simplifications which have been considered.
Externí odkaz:
http://arxiv.org/abs/0909.3805
Autor:
Schochet, Claude L., Smith, Samuel B.
We extend the standard localization theory for function and section spaces due to Hilton-Mislin-Roitberg and Moller outside the CW category to the case of compact metric domain in the presence of a grouplike structure. We study applications in two ca
Externí odkaz:
http://arxiv.org/abs/0908.3243
Let \zeta be an n-dimensional complex matrix bundle over a compact metric space X and let A_\zeta denote the C*-algebra of sections of this bundle. We determine the rational homotopy type as an H-space of UA_\zeta, the group of unitaries of A_\zeta.
Externí odkaz:
http://arxiv.org/abs/0811.0771
Let $A$ be a unital commutative Banach algebra with maximal ideal space $X.$ We determine the rational H-type of the group $GL_n (A)$ of invertible n by n matrices with coefficients in A, in terms of the rational cohomology of $X.$ We also address an
Externí odkaz:
http://arxiv.org/abs/math/0509269