Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded-Lipschitz Distances on the State Space of a C*-algebra   Metric noncommutative geometry, initiated by Alain Connes, has known some
great recent developments under the impulsion of Rieffel and the introduction
of the category of compact quantum metric spaces topologized thanks to the
quantum Rieffel-Gromov-Hausdorff distance. In this paper, we undertake the
first step to generalize such results and constructions to locally compact
quantum metric spaces. Our present work shows how to generalize the
construction of the bounded-Lipschitz metric on the state space of a C*-algebra
which need not be unital, such that the topology induced by this distance on
the state space is the weak* topology. In doing so we obtain some results on a
state space picture of the strict topology of a C*-algebra.

22
The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga