Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on Strongly Quasidiagonal Groups   In this note we address a question of Don Hadwin: "Which groups have strongly
quasidiagonal C*-algebras?" In recent work we showed that all finitely
generated virtually nilpotent groups have strongly quasidiagonal C*-algebras,
while together with Carri\'on and Dadarlat we showed that most wreath products
fail to have strongly quasidiagonal C*-algebras. These two results raised the
question of whether or not strong quasidiagonality could characterize virtual
nilpotence among finitely generated groups. The purpose of this note is to
provide examples of finitely generated groups (in fact of the form $\Z^3\rtimes
\Z^2$) that are not virtually nilpotent yet have strongly quasidiagonal
C*-algebras. Moreover we show these examples are the "simplest" possible by
proving that a group of the form $\Z^d\rtimes \Z$ is virtually nilpotent if and
only if its group C*-algebra is strongly quasidiagonal.

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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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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: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin