Results 21 to 30 of about 17,456 (150)
Noncommutative Lattices and Their Continuum Limits [PDF]
, 1995 We consider finite approximations of a topological space $M$ by noncommutative lattices of points. These lattices are structure spaces of noncommutative $C^*$-algebras which in turn approximate the algebra $\cc(M)$ of continuous functions on $M$. We show
Balachandran +20 more
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Noncommutative Topological Entropy of Endomorphisms of Cuntz Algebras [PDF]
Letters in Mathematical Physics, 2008 Noncommutative topological entropy estimates are obtained for polynomial gauge invariant endomorphisms of Cuntz algebras, generalising known results for the canonical shift endomorphisms. Exact values for the entropy are computed for a class of permutative endomorphisms related to branching function systems introduced and studied by Bratteli, Jorgensen
Skalski, Adam, Zacharias, Joachim
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Floquet many-body engineering: topology and many-body physics in phase space lattices
New Journal of Physics, 2018 Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a one-dimensional (1D) harmonic potential with periodic kicking ...
Pengfei Liang +2 more
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The Unique Path Lifting for Noncommutative Covering Projections [PDF]
, 2014 This article contains a noncommutative generalization of the topological path lifting problem. Noncommutative geometry has no paths and even points. However there are paths of *-automorphisms. It is proven that paths of *-automorphisms comply with unique
Ivankov, Petr
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The Gribov problem in Noncommutative gauge theory
, 2018 After reviewing Gribov ambiguity of non-Abelian gauge theories, a phenomenon related to the topology of the bundle of gauge connections, we show that there is a similar feature for noncommutative QED over Moyal space, despite the structure group being ...
Kurkov, Maxim, Vitale, Patrizia
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An essay on noncommutative topology
Topology and its Applications, 1989 By ``noncommutative topology'' the authors mean \textit{C. J. Mulvey}'s theory of quantales [Rend. Circ. Mat. Palermo., II. Ser., Suppl. 12, 99- 104 (1986; Zbl 0633.46065)]. This was originally introduced in the hope of providing a ``Gelfand-type'' representation for noncommutative \(C^*\)-algebras.
Borceux, Francis +1 more
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Noncommutative Solenoids and the Gromov-Hausdorff Propinquity [PDF]
, 2017 We prove that noncommutative solenoids are limits, in the sense of the Gromov-Hausdorff propinquity, of quantum tori. From this observation, we prove that noncommutative solenoids can be approximated by finite dimensional quantum compact metric spaces ...
Latremoliere, Frederic, Packer, Judith
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On the image of a noncommutative polynomial
, 2013 Let $F$ be an algebraically closed field of characteristic zero. We consider the question which subsets of $M_n(F)$ can be images of noncommutative polynomials. We prove that a noncommutative polynomial $f$ has only finitely many similarity orbits modulo
Špenko, Špela
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The Coupling of Topology and Inflation in Noncommutative Cosmology [PDF]
Communications in Mathematical Physics, 2011 We show that, in a model of modified gravity based on the spectral action functional, there is a nontrivial coupling between cosmic topology and inflation, in the sense that the shape of the possible slow-roll inflation potentials obtained in the model from the nonperturbative form of the spectral action are sensitive not only to the geometry (flat or ...
Marcolli, Matilde +2 more
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Thermodynamic topology of AdS black holes within non-commutative geometry and Barrow entropy
Nuclear Physics BIn this paper, we explore the thermodynamic topology of Schwarzschild-AdS black holes within the framework of non-commutative geometry and Barrow entropy.
Aram Bahroz Brzo +3 more
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