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2 191 (0,081s) •

Project

C*-Algebras of Symmetries and their Invariants (GF25-15403K)

, in C*-algebra theory, with a focus on C*-algebras associated to symmetries, and their invariants. Three research directions will be pursued, including the study of C*-algebras associated with ...

Pure mathematics

  • 2025 - 2027
    • •
  • 6 333 tis. Kč
    • •
  • 6 333 tis. Kč
    • •
  • GA ČR
Project

Applications of C*-algebra classification dynamics, geometry, and their quantum analogues (GJ20-17488Y)

the successes of the classification programme for C*-algebras. There are 3 main goals dynamical systems and their C*-algebras B-Examine quantum group actions in C*-algebras to understand the fine...

Pure mathematics

  • 2020 - 2023
    • •
  • 8 666 tis. Kč
    • •
  • 8 666 tis. Kč
    • •
  • GA ČR
Project

Topological and geometrical properties of Banach spaces and operator algebras II (GA17-00941S)

We wish to investigate the structure of Banach spaces, C*-algebras and Jordan algebras and their relationship. Main topics include quantitative approach to Banach, structure of abelian subalgebras of a C*-algeb...

BA - Obecná matematika

  • 2017 - 2019
    • •
  • 8 784 tis. Kč
    • •
  • 6 646 tis. Kč
    • •
  • GA ČR
Project

Topological and geometrical properties of Banach spaces and operator algebras (GAP201/12/0290)

We would like to study the structure of Banach spaces, spaces of continuous functions, C* algebras and their relationship. Main topics will include quantitative, noncommutative measure theorey, structures on the set of all abelian s...

BA - Obecná matematika

  • 2012 - 2016
    • •
  • 12 118 tis. Kč
    • •
  • 12 118 tis. Kč
    • •
  • GA ČR
Project

Groups and their actions, operator algebras, and descriptive set theory (GJ19-05271Y)

will explore properties of non-separable C*-algebras, where set-theoretic methodsIn recent years, geometric group theory, operator algebras and descriptive set recent advances in operator algebras have been obtain...

Pure mathematics

  • 2019 - 2022
    • •
  • 6 887 tis. Kč
    • •
  • 6 842 tis. Kč
    • •
  • GA ČR
Project

Linear-analysis techniques in operator algebras and vice versa (GJ19-07129Y)

The theory of normed spaces and their operators is at the core of the linear analysis. The idea of employing algebras of operators acting on infinite-dimensional with the theory of unitary representations of locally compact groups. An operat...

Pure mathematics

  • 2019 - 2022
    • •
  • 6 341 tis. Kč
    • •
  • 6 137 tis. Kč
    • •
  • GA ČR
Project

Operator algebras, orthocomplemented structures, and non-commutative measure theory (GA201/00/0331)

, algebra). The main goal is to investigate topical open problems in the theory of operator algebras, orthomodular structures and non-commutative measure theory built on these structures. The main research lines are as follows: (1) ...

BA - Obecná matematika

  • 2000 - 2002
    • •
  • 708 tis. Kč
    • •
  • 708 tis. Kč
    • •
  • GA ČR
Project

Mathematical formalism of quantum theories (operator algebras and ordered structures with orthocomplemantation ) (GA201/96/0117)

analytic problems of oeprator algebras, (von Neumann algebras, Jordan algebras, C*-algebras) and their applications to quantum theory. (ii) Algebraic approach to quantum, algebra) and th...

BA - Obecná matematika

  • 1996 - 1998
    • •
  • 742 tis. Kč
    • •
  • 710 tis. Kč
    • •
  • GA ČR
Project

Homogeneity and Genericity of Metric Structures - Groups, Dynamical Systems, Banach Spaces and C*-Algebras (GF22-07833K)

The project is devoted to all aspects of homogeneity and genericity in metric groups, functional analysis and dynamical systems. Various Fraïssé constructions will be investigated, e.g. for the Jacelon-Razak and Jiang-Su C*-algebras

Pure mathematics

  • 2022 - 2024
    • •
  • 5 928 tis. Kč
    • •
  • 5 928 tis. Kč
    • •
  • GA ČR
Project

Ideal class groups of algebraic number fields (GAP201/11/0276)

An ideal class group of an algebraic number field K is an important classical object that has been introduced by Kummer in 19th century as a useful tool to solve then there is a more available object, namely the group C of circular ...

BA - Obecná matematika

  • 2011 - 2014
    • •
  • 2 848 tis. Kč
    • •
  • 2 848 tis. Kč
    • •
  • GA ČR
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