Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tracial state space with non-compact extreme boundary   Let A be a unital simple separable C*-algebra. If $A$ is nuclear and
infinite-dimensional, it is known that strict comparison is equivalent to
Z-stability if the extreme boundary of its tracial state space is non-empty,
compact and of finite covering dimension. Here we will provide the first proof
of this result on the case of certain non-compact extreme boundaries. Besides,
if A has strict comparison of positive elements, it is known that the Cuntz
semigroup of this C*-algebra is recovered functorially from the Murray-von
Neumann semigroup and the tracial state state space whenever the extreme
boundary of the tracial state space is compact and of finite covering
dimension. We will extend this result to the case of a countable extreme
boundary with finitely many cluster points.

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The categories of this paper are: cs
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph