Hereditary C*-subalgebras and comparison of positive elements

Wei, Changguo; Wang, Liguang

doi:10.1007/s11425-010-4011-x

Cited by 7 publications

(4 citation statements)

References 5 publications

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“…Wei et al (2010a, hereafter Paper I) used this potential, and they also adopted a Galactic distribution with one-component initial random velocity models. Wei et al (2010b) investigated the above gravitational potential of the Galactic disk and several prototypical orbits of stars, and found that all of the orbits are symmetric with respect to the galactic plane. Taani et al (2012b, hereafter Paper II) constructed a phenomenological model with the same gravitational potential, but under a two-component Maxwellian initial random velocity distribution following P90 and Faucher-Giguère & Kaspi (2006).…”

Section: Introductionmentioning

confidence: 99%

Dynamical Monte Carlo Simulations of 3-D Galactic Systems in Axisymmetric and Triaxial Potentials

Taani¹,

Vallejo

2017

Publ. Astron. Soc. Aust.

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We describe the dynamical behavior of isolated old (≥ 1 Gyr) objects-like Neutron Stars (NSs). These isolated NSs are evolved under smooth, time-independent, 3-D gravitational potentials, axisymmetric and with a triaxial dark halo. We analysed the geometry of the dynamics and applied the Poincaré section method for comparing the influence of different birth velocity distributions. The inspection of the maximal asymptotic Lyapunov (λ) exponent shows that the dynamical behaviors of the selected orbits are nearly the same as the regular orbits with two degrees of freedom, both in axisymmetric and triaxial when (φ, q z )= (0,0). Conversely, a few chaotic trajectories are found with a rotated triaxial halo when (φ, q z )= (90, 1.5). The tube orbits preserve the direction of their circulation around either the long or short axis as appeared in the triaxial potential, even when every initial condition leads to different orientations. The Poincaré section method shows that there are 2-D invariant tori and invariant curves (islands) around stable periodic orbits that bound to the surface of 3-D tori. The regularity of the several prototypical orbits offer the means to identify the phase space regions with localized motions and to determine their environment in different models, because they can occupy significant parts of phase-space depending on the potential. This is of particular importance in Galactic Dynamics.

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Section: Introductionmentioning

confidence: 99%

Dynamical Monte Carlo Simulations of 3-D Galactic Systems in Axisymmetric and Triaxial Potentials

Taani¹,

Vallejo

2017

Publ. Astron. Soc. Aust.

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“…Firstly, we need to recall some definitions and notations of C * -algebra extension. One can see [1,10,[23][24][25][26][27][28][29][30][31][32] for more details.…”

Section: Preliminariesmentioning

confidence: 99%

Topologizing UCTs for unital extensions

Wei

Liu

2020

Banach J. Math. Anal.

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In this paper, we study the topological structure on Ext-groups of unital extensions. It is proved that the stable strong Ext-group and the stable weak Ext-group for unital extensions are pseudopolish groups if A is a unital C * -algebra in the bootstrap class N and B is a stable separable C * -algebra. Furthermore, we topologize certain UCTs and prove that these UCTs are exact sequences as topological groups.

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“…Firstly, we need to recall some definitions and notations of C * -algebra extension. One can see [2], [16], [17], [18], [19], [20], [21], [22] for more details.…”

Section: Topologies On Ext-semigroupsmentioning

confidence: 99%