Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounded rank of C*-algebras   We introduce a concept of the bounded rank (with respect to a positive
constant) for unital C*-algebras as a modification of the usual real rank and
present a series of conditions insuring that bounded and real ranks coincide.
These observations are then used to prove that for a given $n$ and $K > 0$
there exists a separable unital C*-algebra $Z_{n}^{K}$ such that every other
separable unital C*-algebra of bounded rank with respect to $K$ at most $n$ is
a quotient of $Z_{n}^{K}$.

34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: stat
31
The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom