Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Semialgebraic Sets in Nilpotent Variables   We solve the lifting problem in C^*-algebras for many sets of relations that
include the relations x_j^{N_j} = 0 on each variable. The remaining relations
must be of the form \| p(x_1,...,x_n) \| \leq C for C a positive constant and p
a noncommutative *-polynomial that is in some sense homogeneous. For example,
we prove liftability for the set of relations x^3=0, y^4=0, z^5=0,
xx^*+yy^*+zz^* \leq 1. Thus we find more noncommutative semialgebraic sets that
have the topology of noncommutative absolute retracts.

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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg