Quantum semigroups, what is known or not

Abstract: Whereas it is straightforward to define a topological group, one needs more caution when dealing with semigroups: their multiplication might be only separately and not jointly continuous. This happens in the case as natural as the weakly almost periodic of a locally compact group. The distinction exists also in the quantum case, first addressed by Mattthew Daws. After discussing it, I will speak on duality and known links with quantum compactifications. Finally, I will pass to some results on the structure of quantum semigroups. The last part is work in progress with Biswarup Das.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( paper | video )

Noncommutative Geometry in NYC

Series comments: Noncommutative Geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. Our seminar welcomes talks in Number Theory, Geometric Topology and Representation Theory linked to the context of Operator Algebras. All talks are kept at the entry-level accessible to the graduate students and non-experts in the field. To join us click sju.webex.com/meet/nikolaei (5 min in advance) and igor DOT v DOT nikolaev AT gmail DOT com to subscribe/unsubscribe for the mailing list, to propose a talk or to suggest a speaker. Pending speaker's consent, we record and publish all talks at the hyperlink "video" on speaker's profile at the "Past talks" section. The slides can be posted by providing the organizers with a link in the format "myschool.edu/~myfolder/myslides.pdf". The duration of talks is 1 hour plus or minus 10 minutes.