Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On positivity of the Kadison constant and noncommutative Bloch theory   In an earlier paper, we established a natural connection between the
Baum-Connes conjecture and noncommutative Bloch theory, viz. the spectral
theory of projectively periodic elliptic operators on covering spaces. We
elaborate on this connection here and provide significant evidence for a
fundamental conjecture in noncommutative Bloch theory on the non-existence of
Cantor set type spectrum. This is accomplished by establishing an explicit
lower bound for the Kadison constant of twisted group C*-algebras in a large
number of cases, whenever the multiplier is rational.

1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph