Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On twisted higher-rank graph C*-algebras   We define the categorical cohomology of a k-graph \Lambda\ and show that the
first three terms in this cohomology are isomorphic to the corresponding terms
in the cohomology defined in our previous paper. This leads to an alternative
characterisation of the twisted k-graph C*-algebras introduced there. We prove
a gauge-invariant uniqueness theorem and use it to show that every twisted
k-graph C*-algebra is isomorphic to a twisted groupoid C*-algebra. We deduce
criteria for simplicity, prove a Cuntz-Krieger uniqueness theorem and establish
that all twisted k-graph C*-algebras are nuclear and belong to the bootstrap
class.

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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess