Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Good measures for non-simple dimension groups   Akin's notion of good measure, introduced to classify measures on Cantor sets
has been translated to dimension groups and corresponding traces by Bezuglyi
and the author, but emphasizing the simple (minimal dynamical system) case.
Here we deal with non-simple (non-minimal) dimension groups. In particular,
goodness of tensor products of large classes of non-good traces (measures) is
established. We also determine the pure faithful traces on the dimension groups
associated to xerox type actions on AF C*-algebras; the criteria turn out to
involve algebraic geometry and number theory. We also deal with a coproduct of
dimension groups, wherein, despite expectations, goodness of direct sums is
nontrivial. In addition, we verify a conjecture of [BeH] concerning good
subsets of Choquet simplices, in the finite-dimensional case.

3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci