Results 51 to 60 of about 14,642,230 (161)
A categorical interpretation of continuous orbit equivalence for partial dynamical systems
Abstract We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is equivalent to the existence of a continuous orbit equivalence between the given partial dynamical systems that preserves the essential stabilisers. We show that this
Gilles G. de Castro, Eun Ji Kang
wiley +1 more source
An amorphic association scheme has the property that any of its fusion is also an association scheme. In this paper we generalize the property to be amorphic to an arbitrary C-algebra and prove that any amorphic C-algebra is determined up to isomorphism by the multiset of its degrees and an additional integer equal 1 or -1.
Ponomarenko, I. N., Rahnamai, Barghi A.
openaire +3 more sources
MUMOTT: a Python package for the analysis of multi‐modal tensor tomography data
The MUMOTT Python package facilitates the analysis of small‐ and wide‐angle X‐ray scattering tensor tomography data, using CPU and GPU acceleration to simplify complex computational tasks. Designed for ease of use, extensibility and efficiency, MUMOTT aims to lower barriers to adopting tensor tomography methods within the wider research community.Small‐
Leonard C. Nielsen +6 more
wiley +1 more source
ABSTRACT Objective To evaluate the masking ability of different thicknesses of CAD‐CAM resin‐matrix and feldspar porcelain materials. Materials and Methods Specimens (Ø7.5 mm, thickness 0.5, 1.0, and 1.5 mm, n = 3/material) were fabricated from Lava Ultimate‐LU, Grandio Blocs‐GB, VITA Enamic‐VE, and VITA Mark II‐VM.
Bruno Arruda Mascaro +5 more
wiley +1 more source
FRAÏSSÉ LIMITS OF C*-ALGEBRAS [PDF]
AbstractWe realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1factor as Fraïssé limits of suitable classes of structures. Moreover by means of Fraïssé theory we provide new examples of AF algebras with strong homogeneity properties.
Christopher J. Eagle +5 more
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Taking limits in topological recursion
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
On commutativity of C*-algebras [PDF]
Two numerical characterizations of commutativity for C*-algebra (acting on the Hilbert space H) were given in [1]; one used the norms of self-adjoint operators in (Theorem 2), and the other the numerical index of (Theorem 3). In both cases the proofs were based on the result of Kaplansky which states that if the only nilpotent operator in is 0 ...
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Parity of ranks of Jacobians of curves
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser +3 more
wiley +1 more source
In this paper, we study a categorical extension of the classical Gelfand-Naimark duality between compact Hausdorff spaces and commutative unital C*-algebras.
Роман Скуріхін +2 more
doaj +1 more source
Let V be a vector space over the complex numbers C and let \(M_ n(V)=V\otimes M_ n(C)\) denote the vector space of \(n\times n\) matrices \([v_{ij}]\) with entries in V. Let \(A[v_{ij}]=[\sum_{k}a_{ik}v_{kj}]\) and \([v_{ij}]A-[\sum a_{kj}v_{ik}]\) for \([v_{ij}]\) in \(M_ n(V)\) and \(A=[a_{ij}]\) in M(C). If \(v\in M_ n(V)\) and \(\omega \in M_ m(V)\)
openaire +1 more source

