September 27, 2016, 1515-17, room 106, Piotr Koszmider (IM PAN)
Title: "A nonseparable scattered C*-algebra without
a nonseparable commutative subalgebra"
"This talk is based on a paper T. Bice, P. Koszmider, A note on the Akemann-Doner and Farah-Wofsey constructions,
To appear in PAMS where we removed an additional assumption of the continuum hypothesis from a previous
construction of Akemann and Doner of an algebra like in the title (A nonseparable C*-algebra with only separable abelian C*-subalgebras.
Bull. London Math. Soc. 11 (1979), no. 3, 279–284). The main combinatorial "trick" is to use Luzin's almost disjoint family,
so first, we will describe this notion."
SPECIAL NONCOMMUTATIVE SEMESTER
During the fall semester 2016/17 the seminar is devoted to applictaions
of set theory in noncommutative mathematics. This is a part of satellite events to
Simons semester: Noncommutative geometry the next generation
which takes place at IM PAN during this semester.
Time and place: Thursdays 10.15-12.00 am, room 105, Sniadeckich 8
Due to lecture courses at Simon's semester temporary time and place of the seminar is
Tuesdays 15.15-17.00, room 106, Sniadeckich 8
The scope of the seminar:
Set-theoretic combinatorial and topological methods in diverse fields of mathematics, with a special emphasis on abstract analysis like
Banach spaces, Banach algebras, C*-algebras, Here we include both the developing of such methods as
forcing, descriptive set theory, Ramsey theory as well as their concrete applications in the fields mentioned above.
Working group style: We will make efforts so that this seminar has
more a working character rather than the presentation style. This means that we encourage long digressions,
discussions, background preparations and participation of everyone.
We would like to immerse ourselves into the details of the mathematical arguments studied.
Also the talks are usualy devoted to research in progress or fascinating results leading to some project not yet resolved.
While ready final results could be presented at other seminars at IM PAN or UW.
Participants this semester so far:
- Tristan Bice (WCNM/IM PAN)
- Saeed Ghasemi (WCNM/IM PAN)
- Clayton Suguio Hida (Ph. D. student, São Paulo)
- Tomasz Kochanek (IM PAN/UW)
- Piotr Koszmider (IM PAN)
- Tomasz Żuchowski (Ph. D. student, Wrocław/WCNM)
Forthcoming talks :
- 05.10.2016, 1515-17, room 403, Saeed Ghasemi (IMPAN)
Introduction to scattered C*-algebras
- 12.10.2016, 1515-17, room 403, TBA
- 20.10.2016, 1515-17, no seminar due to Scientific Council of the Institute,
instead we invite the participants of the seminar to the Doctoral defence of
Damian Sobota (IM PAN) at 11.15 on 19.10. The title of the thesis written under the guidance of
Piot Koszmider is "Cardinal invariants of the continuum and
convergencce of measures on compact spaces. The room and the language of the defence
will be announced later.
- Following seminars will take place on Thursdays at 10.15-12.