Results 41 to 50 of about 17,456 (150)
Hyperbolic geometry on noncommutative balls [PDF]
In this paper, we study the hyperbolic geometry of noncommutative balls generated by the joint operator radius $\omega_\rho$, $\rho\in (0,\infty]$, for $n$-tuples of bounded linear operators on a Hilbert space.
Popescu, Gelu
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Duality in noncommutative topologically massive gauge field theory revisited [PDF]
14 pages, Latex. v2: comments and references added, minor changes. v3: analysis extended to the second order in the noncommutative parameter, references and discussions added.
Cantcheff, M. B., Minces, P.
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Joint similarity to operators in noncommutative varieties
In this paper we solve several problems concerning joint similarity to n-tuples of operators in noncommutative varieties in $[B(\cH)^n]_1$ associated with positive regular free holomorphic functions in $n$ noncommuting variables and with sets of ...
Popescu, Gelu
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Compact group actions on topological and noncommutative joins
We consider the Type 1 and Type 2 noncommutative Borsuk-Ulam conjectures of Baum, D$ $browski, and Hajac: there are no equivariant morphisms $A \to A \circledast_ H$ or $H \to A \circledast_ H$, respectively, when $H$ is a nontrivial compact quantum group acting freely on a unital $C^*$-algebra $A$.
Chirvasitu, Alexandru, Passer, Benjamin
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Noncommutative geometry, topology, and the standard model vacuum [PDF]
As a ramification of a motivational discussion for previous joint work, in which equations of motion for the finite spectral action of the standard model were derived, we provide a new analysis of the results of the calculations therein, switching from the perspective of spectral triple to that of Fredholm module and thus from the analogy with ...
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Locally convex quasi C*-algebras and noncommutative integration
In this paper we continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm and we focus our attention on the so-called {\em locally convex quasi C ...
Trapani, Camillo, Triolo, Salvatore
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Noncommutative topological dynamics and compact actions on C∗-algebras
The classical notions of topological transitivity and minimality of a topological dynamical system are extended and analyzed in the context of \(C^*\)-dynamical systems. These notions are compared with other notions naturally arising in noncommutative ergodic theory. As an application, a \(C^*\)-algebra version of a theorem of \textit{H.
LONGO, ROBERTO, Peligrad, Costel
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Topographic Gromov-Hausdorff quantum Hypertopology for Quantum Proper Metric Spaces
We construct a topology on the class of pointed proper quantum metric spaces which generalizes the topology of the Gromov-Hausdorff distance on proper metric spaces, and the topology of the dual propinquity on Leibniz quantum compact metric spaces.
Latremoliere, Frederic
core
Noncommutative topological $\mathbb{Z}_2$ invariant
We generalize the $\mathbb{Z}_2$ invariant of topological insulators using noncommutative differential geometry in two different ways. First, we model Majorana zero modes by KQ-cycles in the framework of analytic K-homology, and we define the noncommutative $\mathbb{Z}_2$ invariant as a topological index in noncommutative topology.
Kaufmann, Ralph M. +2 more
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Noncommutative geometry for three-dimensional topological insulators
41 pages, 3 ...
Neupert, Titus +4 more
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