Results 111 to 120 of about 525 (181)
Noncommutative Topology and Prospects in Index Theory
, 2016 This article is a tribute to the memory of Professor Enzo Martinelli, with deep respect and reconesance. Nicolae Teleman. The index formula is a local statement made on global and local data; for this reason we introduce local Alexander - Spanier co-homology, local periodic cyclic homology, local Chern character and local $T^{\ast}$-theory.
openaire +2 more sources
Noncommutative Algebraic Geometry: from pi-Algebras to Quantum Groups
, 2007 The main purpose of this paper is to provide a survey of di#erent notions of algebraic geometry, which one may associate to an arbitrary noncommutative ring R.
L. Willaert, A. Verschoren
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Duality in Noncommutative Algebra and Geometry
, 2003 Duality is one of the fundamental concepts in mathematics. From the basic duality for finite dimensional vector spaces it extends in many directions: Banach spaces and topological groups in analysis, Poincare duality in topology, Serre duality in ...
Yekutieli, Amnon
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Entanglement entropy and edge modes in topological string theory. Part I. Generalized entropy for closed strings. [PDF]
J High Energy Phys, 2021 Donnelly W, Jiang Y, Kim M, Wong G.
europepmc +1 more source
Emergent spacetime and empirical (in)coherence [PDF]
, 2012 Numerous approaches to a quantum theory of gravity posit fundamental ontologies that exclude spacetime, either partially or wholly. This situation raises deep questions about how such theories could relate to the empirical realm, since arguably only ...
Wuthrich, Christian +2 more
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Community as Phase: A Noncommutative Ontology in Unitary Topology [PDF]
This article introduces a phase-theoretic ontology of community, where "community" is modeled not as a structural aggregate of agents but as an open, dynamically adaptive relationship between observer and observed.
Ayvazov, Mahammad
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A commutative noncommutative fractal geometry
, 2010 In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained. Firstly, starting with Connes' spectral triple for a non-empty compact totally disconnected subset
Stratmann, Bernd +2 more
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The Phase Space Model of Nonrelativistic Quantum Mechanics. [PDF]
Entropy (Basel), 2021 Tosiek J, Przanowski M.
europepmc +1 more source
Noncommutative complex analytic geometry of a contractive quantum plane
In the paper we investigate the Banach space representations of Manin\u27s quantum q-plane for |q| is not 1. The Arens-Michael envelope of the quantum plane is extended up to a Frechet algebra presheaf over its spectrum.
Dosi, Anar
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