This entire movie feels like a parable about Trump, his irrational intentions & the folly of "his flock".
▶️ Wake Up Dead Man: A Knives Out Mystery | Official Trailer | Netflix
https://youtube.com/watch?v=0hc8yz5-d5Y&si=zhYnNzrOtBoSaguV
The Unitary Conjugation Groupoid as a Universal Mediator of the Baum--Connes Assembly Map
Shih-Yu Chang
https://arxiv.org/abs/2603.22162 https://arxiv.org/pdf/2603.22162 https://arxiv.org/html/2603.22162
arXiv:2603.22162v1 Announce Type: new
Abstract: We show that the Baum--Connes assembly map factors canonically through the unitary conjugation groupoid, which serves as a universal mediator among groupoid models that are Morita equivalent to a given transformation groupoid. This establishes a structural link between groupoid-based index theory and the Baum--Connes program at the level of K-theory. Building on our previous development of unitary conjugation groupoids and their associated index theory, we extend the $K_1$ index framework beyond the Type I setting to non-Type I examples, including the irrational rotation algebra and amenable crossed products. Using Morita equivalence, we relate unitary conjugation groupoids to transformation and action groupoids, enabling the transfer of descent-type index constructions to these settings. Our main result shows that, among all groupoid realizations that are Morita equivalent to a transformation groupoid, the factorization through the unitary conjugation groupoid is canonical at the level of K-theory. This identifies the unitary conjugation groupoid as a universal intermediary for the Baum--Connes assembly map. As applications, we recover the classical index pairing with the tracial state for the irrational rotation algebra in the sense of Connes, and we prove that for amenable crossed products the descent construction agrees with the analytic Baum--Connes assembly map under Morita equivalence. These results provide a conceptual interpretation of the assembly map in terms of internal symmetries of crossed product algebras and suggest a unified framework connecting Fredholm-type index data with equivariant K-theory via groupoid methods.
toXiv_bot_toot
As Trump threatens Iran, Venezuela, Mexico, Greenland and more,
renowned historian Alfred McCoy says the United States is
“an empire in decline,”
following a predictable pattern
of militarism abroad and political instability at home
as it loses power and influence on the world stage.
“American politics become increasingly contorted and irrational,”
says McCoy.
“I think the thing to do is to realize that we are an empire in decline, …
…
Man muss schon sehr abgehalftert sein, oder Mitglied im kriminellen Clan von Darth #Trumps sein, um bereit zu sein, 1 Milliarde $ dafür zu zahlen, sich freiwillig der Willkür Trumps unterwerfen zu dürfen.
Ich dachte ja nicht, dass es so viele irrational agierende Länder gibt.
Bei Ungarn wundert mich nichts mehr - Orban steckt zu tief in Trumps Anus.
Auch beim Mörder MBS wundert es mich…
An irrational fear of the date is known as paraskevidekatriaphobia.
In Spanish-speaking countries and in Greece, it is Tuesday the 13th that frightens people. In Italy, it is Friday the 17th.
#fridaythe13th
Replaced article(s) found for nlin.PS. https://arxiv.org/list/nlin.PS/new
[1/1]:
- Nonlinear Dynamics of Kink Configurations: From Small to Large Kink Collisions
Aliakbar Moradi Marjaneh, Dionisio Bazeia
https://arxiv.org/abs/2508.05812 https://mastoxiv.page/@arXiv_nlinPS_bot/115009050356585585
- Phase domain walls in coherently driven Bose-Einstein condensates
S. S. Gavrilov
https://arxiv.org/abs/2505.09553 https://mastoxiv.page/@arXiv_condmatquantgas_bot/114510670866621695
- Painleve solitons of AKNS system and irrational algebraic solitons of NLS equations
Man Jia, Xia-Zhi Hao, Ruo-Xia Yao, Fa-Ren Wang, S. Y. Lou
https://arxiv.org/abs/2602.04498
toXiv_bot_toot
@… frankly: the tidal wave of irrational arguments, over the years, successfully increased my confidence that systemd is a good thing.
https://redd.it/96pm7w
Auf mich macht die Militärstrategie der #USA einen sehr beunruhigenden Eindruck. Das scheint so aus dem Ruder zu laufen, wie der Krieg in der Ukraine für Darth Putin. Aber im Unterschied dazu kann das zu einem Flächenbrand werden.
Um im Iran weiter zu kommen, werden andere kritische Regionen geschwächt - eine Einladung für Nordkorea und China (wobei ich Nordkorea eher zutraue irrational zu handeln.…