Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant semiprojectivity   We define equivariant semiprojectivity for C*-algebras equipped with actions
of compact groups. We prove that the following examples are equivariantly
semiprojective: arbitrary finite dimensional C*-algebras with arbitrary actions
of compact groups; the Cuntz algebras ${\mathcal{O}}_d$ and extended Cuntz
algebras $E_d,$ for finite $d,$ with quasifree actions of compact groups; the
Cuntz algebra ${\mathcal{O}}_{\infty}$ with any quasifree action of a finite
group. For actions of finite groups, we prove that equivariant semiprojectivity
is equivalent to a form of equivariant stability of generators and relations.
We also prove that if $G$ is finite, then $C^* (G)$ is graded semiprojective.

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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg