The ideal structure of C*-algebras of etale groupoids with isotropy groups of local polynomial growth
J Christensen, S Neshveyev - arXiv preprint arXiv:2412.11805, 2024 - arxiv.org
Given an amenable second countable Hausdorff locally compact\'etale groupoid $\mathcal
G $ such that each isotropy group $\mathcal G^ x_x $ has local polynomial growth, we give …
G $ such that each isotropy group $\mathcal G^ x_x $ has local polynomial growth, we give …
[HTML][HTML] The finite dual coalgebra as a quantization of the maximal spectrum
ML Reyes - Journal of Algebra, 2024 - Elsevier
In pursuit of a noncommutative spectrum functor, we argue that the Heyneman-Sweedler
finite dual coalgebra can be viewed as a quantization of the maximal spectrum of a …
finite dual coalgebra can be viewed as a quantization of the maximal spectrum of a …
[HTML][HTML] Central amalgamation of groups and the RFD property
T Shulman - Advances in Mathematics, 2022 - Elsevier
It is an old and challenging topic to investigate for which discrete groups G the full group C*-
algebra C⁎(G) is residually finite-dimensional (RFD). In particular not much is known about …
algebra C⁎(G) is residually finite-dimensional (RFD). In particular not much is known about …
RFD property for groupoid C*-algebras of amenable groupoids and for crossed products by amenable actions
By Bekka's theorem the group C*-algebra of an amenable group $ G $ is residually finite
dimensional (RFD) if and only if $ G $ is maximally almost periodic (MAP). We generalize …
dimensional (RFD) if and only if $ G $ is maximally almost periodic (MAP). We generalize …
Residual finiteness for central pushouts
A Chirvasitu - Proceedings of the American Mathematical Society, 2021 - ams.org
We prove that pushouts $ A* _CB $ of residually finite-dimensional (RFD) $ C^* $-algebras
over central subalgebras are always residually finite-dimensional provided the fibers $ A_p …
over central subalgebras are always residually finite-dimensional provided the fibers $ A_p …
[PDF][PDF] Topology and Measure in Dynamics and Operator Algebras
G Elliott, T Giordano, D Kerr, X Li - 2019 - birs.ca
It is not a coincidence that ergodic theory and the theory of operator algebras were both born
as formal disciplines under the pioneering vision of von Neumann, and indeed the two …
as formal disciplines under the pioneering vision of von Neumann, and indeed the two …
[引用][C] A note on almalgamated free products
Q Li, D Hadwin, J Shen - Proceedings of the American Mathematical …, 2024 - ams.org
A note on almalgamated free products Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 152, Number 7, July 2024, Pages 2719–2723 https://doi.org/10.1090/proc/16791 …
MATHEMATICAL SOCIETY Volume 152, Number 7, July 2024, Pages 2719–2723 https://doi.org/10.1090/proc/16791 …