Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cones of traces arising from AF C*-algebras   We characterize the topological non-cancellative cones that are expressible
as projective limits of finite powers of $[0,\infty]$. These are also the cones
of lower semicontinuous extended-valued traces on AF C*-algebras. Our main
result may be regarded as a generalization of the fact that any Choquet simplex
is a projective limit of finite dimensional simplices. To obtain our main
result, we first establish a duality between certain non-cancellative
topological cones and Cuntz semigroups with real multiplication. This duality
extends the duality between compact convex sets and complete order unit vector
spaces to a non-cancellative setting.

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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat