Results 1 to 10 of about 17,436 (130)
Spectral Distances: Results for Moyal Plane and Noncommutative Torus [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non compact Riemannian spin manifold.
Eric Cagnache, Jean-Christophe Wallet
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Noncommutative topology and the world's simplest index theorem. [PDF]
Proc Natl Acad Sci U S A, 2010 In this article we outline an approach to index theory on the basis of methods of noncommutative topology. We start with an explicit index theorem for second-order differential operators on 3-manifolds that are Fredholm but not elliptic. This low-brow index formula is expressed in terms of winding numbers. We then proceed to show how it is derived as a
van Erp E.
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From factorizations of noncommutative polynomials to combinatorial topology [PDF]
Open Mathematics, 2010 Abstract This is an extended version of a talk given by the author at the conference “Algebra and Topology in Interaction” on the occasion of the 70th Anniversary of D.B. Fuchs at UC Davis in September 2009. It is a brief survey of an area originated around 1995 by I. Gelfand and the speaker.
Retakh Vladimir
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Noncommutative localization in topology [PDF]
, 2002 A survey of the applications of the noncommutative Cohn localization of rings to the topology of manifolds with infinite fundamental group, with particular emphasis on the algebraic K- and L-theory of generalized free products.Comment: 20 pages, LATEX ...
Ranicki, Andrew
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Noncommutative topology and Jordan operator algebras [PDF]
Mathematische Nachrichten, 2018 Jordan operator algebras are norm-closed spaces of operators on a Hilbert space with $a^2 \in A$ for all $a \in A$. We study noncommutative topology, noncommutative peak sets and peak interpolation, and hereditary subalgebras of Jordan operator algebras.
Blecher, David P., Neal, Matthew
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From Topology to Noncommutative Geometry: $K$-theory
, 2014 We associate to each unital $C^*$-algebra $A$ a geometric object---a diagram of topological spaces representing quotient spaces of the noncommutative space underlying $A$---meant to serve the role of a generalized Gel'fand spectrum.
de Silva, Nadish
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Noncommutative tensor triangulated categories and coherent frames
Comptes Rendus. Mathématique, 2023 We develop a point-free approach for constructing the Nakano–Vashaw–Yakimov–Balmer spectrum of a noncommutative tensor triangulated category under certain assumptions.
Mallick, Vivek Mohan, Ray, Samarpita
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Experimental characterization of three-band braid relations in non-Hermitian acoustic lattices
Physical Review Research, 2023 The nature of complex eigenenergy enables unique band topology in non-Hermitian (NH) lattices. Recently, there has been fast growing interest in the elusive winding and braiding topologies of the NH single and double bands, respectively. Here, we explore
Qicheng Zhang +6 more
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Structure Sheaves and Noncommutative Topologies [PDF]
Journal of Algebra, 1997 The main purpose of this paper is to construct structure sheaves over noncommutative topologies associated to an arbitrary left noetherian ring. In the first section the authors quickly recollect some of the main notions, constructions and results, which will be needed throughout.
Garcia, M. +2 more
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Noncommutative topological half-flat gravity [PDF]
General Relativity and Gravitation, 2005 12+1 pages, revtex4, no ...
García-Compeán, H. +2 more
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