Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: C*-Algebra Relations   We investigate relations on elements in C*-algebras, including *-polynomial
relations, order relations and all relations that correspond to universal
C*-algebras. We call these C*-relations and define them axiomatically. Within
these are the compact C*-relations, which are those that determine universal
C*-algebras, and we introduce the more flexible concept of a closed
C*-relation.
  In the case of a finite set of generators, we show that closed C*-relations
correspond to the zero-sets of elements in a free sigma -C*-algebra. This
provides a solid link between two of the previous theories on relations in
C*-algebras.
  Applications to lifting problems are briefly considered in the last section.

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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th