Convergence of Fourier truncations for compact quantum groups and finitely generated groups
نویسندگان
چکیده
We generalize the Fej\'er-Riesz operator systems defined for circle group by Connes and van Suijlekom to setting of compact matrix quantum groups their ergodic actions on C*-algebras. These truncations form filtrations containing C*-algebra. show that when they C*-algebra are equipped with suitable metrics, then under conditions converge Gromov-Hausdorff distance. Among other examples, our results applicable $SU_q(2)$ homogeneous spaces $S^2_q$.
منابع مشابه
Finitely generated connected locally compact groups
Hofmann and Morris [6] proved that a locally compact connected group G has a finite subset generating a dense subgroup if and only if the weight w(G) of G does not exceed c , the cardinality of the continuum. The minimum cardinality of such a topological generating set is an invariant of the group, is denoted by σ(G), and is called the topological rank of G . For compact abelian groups of weigh...
متن کاملLacunary Fourier Series for Compact Quantum Groups
This paper is devoted to the study of Sidon sets, Λ(p)-sets and some related notions for compact quantum groups. We establish several different characterizations of Sidon sets, and in particular prove that any Sidon set in a discrete group is a strong Sidon set in the sense of Picardello. We give several relations between Sidon sets, Λ(p)-sets and lacunarities for LFourier multipliers, generali...
متن کاملFinitely Generated Semiautomatic Groups
The present work shows that Cayley automatic groups are semiautomatic and exhibits some further constructions of semiautomatic groups and in particular shows that every finitely generated group of nilpotency class 3 is semiautomatic.
متن کاملCombinatorics of Finitely Generated Groups
of the Dissertation Combinatorics of Finitely Generated Groups
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2023
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2023.104921