impan seminar:

working group in applications of set theory



Thursday, 05.10. 2017, 10:00, room 105, Tristan Bice (IMPAN) "Monotone Complete C*-algebras"

Abstract: "Based on a recent book by Saito and Wright, we give an introduction to the theory of C*-algebras whose positive unit ball is directed complete, i.e. every bounded increasing net of self-adjoint elements has a least upper bound. Von Neumann algebras are the most famous examples but there are many more, large classes of which can be distinguished by a simple classification semilattice defined by certain linear maps. The general theory is also more algebraic/order theoretic, as there is generally no close analog of the weak or strong topology".

Previous talks this semester







Talks in the second semester of 2016-17.

Talks in the first semester of 2016-17.

Talks in the second semester of 2015-16.

Talks in the first semester of 2015-16.

Talks in the second semester of 2014-15.

Talks in the first semester of 2014-15.

Talks in the second semester of 2013-14.

Talks in the first semester of 2013-14.

Talks in the second semester of 2012-13.

Talks in the first semester of 2012-13.

Talks in the second semester of 2011-12.

Talks in the first semester of 2011-12.

Time and place: Thursdays 10.00-11.45 am, room 105, 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 (IM PAN/WCNM)
  • Tomasz Kochanek (IM PAN/UW)
  • Piotr Koszmider (IM PAN)
  • Michał Godziszewski (Ph. D. student IMPAN)
Forthcoming talks :