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Search: MSC category 46L99 ( None of the above, but in this section )

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1. CMB 2012 (vol 56 pp. 630)

Sundar, S.
 Inverse Semigroups and Sheu's Groupoid for the Odd Dimensional Quantum Spheres In this paper, we give a different proof of the fact that the odd dimensional quantum spheres are groupoid $C^{*}$-algebras. We show that the $C^{*}$-algebra $C(S_{q}^{2\ell+1})$ is generated by an inverse semigroup $T$ of partial isometries. We show that the groupoid $\mathcal{G}_{tight}$ associated with the inverse semigroup $T$ by Exel is exactly the same as the groupoid considered by Sheu. Keywords:inverse semigroups, groupoids, odd dimensional quantum spheresCategories:46L99, 20M18

2. CMB 2010 (vol 53 pp. 256)

Fang, Xiaochun; Wang, Lin
 Equivalent Definitions of Infinite Positive Elements in Simple C*-algebras We prove the equivalence of three definitions given by different comparison relations for infiniteness of positive elements in simple $C^*$-algebras. Keywords:Infinite positive element, Comparison relationCategory:46L99

3. CMB 1997 (vol 40 pp. 443)

Hadwin, Don; Orhon, Mehmet
 Reflective Representations and Banach C*-Modules Suppose ${\cal A}$ is a unital $C$*-algebra and $m\colon{\cal A}\to B(X)$ Categories:47D30, 46L99
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