Results 61 to 70 of about 35,099 (156)

Hypergroupoids and C*-algebras [PDF]

open access: yesComptes Rendus. Mathématique, 2013
Let G be a locally compact groupoid. If X is a free and proper G-space, then (X⁎X)/G is a groupoid equivalent to G. We consider the situation where X is proper, but no longer free. The formalism of groupoid C*-algebras and their representations is suitable to attach C*-algebras to this new object.
Holkar, Rohit Dilip, Renault, Jean
openaire   +3 more sources

Quantum automorphism groups of lexicographic products of graphs

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract Sabidussi's theorem [Duke Math. J. 28 (1961), 573–578] gives necessary and sufficient conditions under which the automorphism group of a lexicographic product of two graphs is a wreath product of the respective automorphism groups. We prove a quantum version of Sabidussi's theorem for finite graphs, with the automorphism groups replaced by ...
Arnbjörg Soffía Árnadóttir   +4 more
wiley   +1 more source

Sesquilinear forms as eigenvectors in quasi *‐algebras, with an application to ladder elements

open access: yesMathematische Nachrichten, Volume 298, Issue 3, Page 1062-1075, March 2025.
Abstract We consider a particular class of sesquilinear forms on a Banach quasi *‐algebra (A[∥.∥],A0[∥.∥0])$({\cal A}[\Vert .\Vert],{\cal A}_0[\Vert .\Vert _0])$ that we call eigenstates of an element a∈A$a\in {\cal A}$, and we deduce some of their properties.
Fabio Bagarello   +2 more
wiley   +1 more source

Additive Manufacturing of Organic Electrochemical Transistors: Methods, Device Architectures, and Emerging Applications

open access: yesSmall, Volume 21, Issue 11, March 19, 2025.
Organic electrochemical transistors (OECTs) are essential for bioelectronics, neuromorphics, and flexible electronics. This review examines additive manufacturing advances for OECTs, covering printing techniques, device architectures, and applications including biochemical sensing, neuromorphic, green bio‐electronics, self‐healable, and 4D electronics.
Roberto Granelli   +2 more
wiley   +1 more source

Multi‐view subspace clustering with incomplete graph information

open access: yesIET Computer Vision, Volume 19, Issue 1, January/December 2025.
Abstract The core of multi‐view clustering is how to exploit the shared and specific information of multi‐view data properly. The data missing and incompleteness bring great challenges to multi‐view clustering. In this paper, we propose an innovative multi‐view subspace clustering method with incomplete graph information, so‐called incomplete multiple ...
Xiaxia He   +5 more
wiley   +1 more source

A method for constructing idempotents in a unital algebra

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки
A method is proposed for constructing idempotents in a unital algebra 𝒜 using n arbitrary idempotents P1,...,Pn from this algebra. The properties of the resulting idempotents P = P(P1,...,Pn) are investigated; for n = 2 and n = 3, explicit forms of the ...
M. Khadour
doaj   +1 more source

Growth functions of periodic space tessellations

open access: yesActa Crystallographica Section A, Volume 81, Issue 1, Page 64-81, January 2025.
For any periodic tilings of the plane by congruent polygons, growth functions are derived that count the numbers of vertices, edges and faces as the coverage expands. The functions are computed as polynomial formulas in a Python program and analyzed graphically using orphic diagrams.This work analyzes the rules governing the growth of the numbers of ...
Bartosz Naskręcki   +3 more
wiley   +1 more source

Closed equivalence relations on compact spaces and pairs of commutative C*-algebras: a Categorical Approach

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
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

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