Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Some analytic aspects of groups and their representations

2012/05/N/ST1/02829

Keywords:

group group action representation Hecke-von Neumann algebra convolution algebra zero divisor

Descriptors:

  • ST1_7: Lie groups, Lie algebras
  • ST1_9: Operator algebras and functional analysis
  • ST1_5: Geometry

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Łukasz Garncarek 

Number of co-investigators in the project: 2

Call: PRELUDIUM 3 - announced on 2012-03-15

Amount awarded: 88 460 PLN

Project start date (Y-m-d): 2013-02-14

Project end date (Y-m-d): 2016-02-13

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer/laptop (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (2)
  1. Factoriality of Hecke-von Neumann algebras of right-angled Coxeter groups
    Authors:
    Łukasz Garncarek
    Academic press:
    Journal of Functional Analysis (rok: 2016, tom: 270, strony: 1202-1219), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2015.11.014 - link to the publication
  2. Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
    Authors:
    Łukasz Garncarek
    Academic press:
    Colloquium Mathematicum (rok: 2014, tom: 134(2), strony: 287-296), Wydawca: INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
    Status:
    Published
    DOI:
    10.4064/cm134-2-12 - link to the publication