Objective
Following the enormous progress registered in the Elliott classification programme for simple nuclear C*-algebras, it is an appropriate time to extend our understanding of the symmetries of such C*-algebras. Arguably the biggest achievement obtained so far in this direction is Gabe and Szabó's classification of certain group actions on Kirchberg algebras. However, in the case of the group being the real numbers, their results do not improve Szabó's previous classification of Rokhlin flows on Kirchberg algebras.
While classifying actions of discrete groups proved to be a fundamental tool for understanding the structure and symmetries of operator algebras, certain applications to geometry or physics are usually related to time evolutions, or continuous actions of the real numbers. One fundamental feature which makes flows particularly difficult to manoeuvre is the potential presence of KMS states. One goal of this project is to extend and deepen our understanding of flows on classifiable C*-algebras via the study of their associated KMS states. In particular, an important emphasis will be put on taking inspiration from techniques developed in the classification theory of C*-algebras to gain insight of the structure and classification of C*-dynamical systems. In fact, the focus shall be split between periodic flows, which will be viewed as circle actions, and non-periodic ones.
The second goal of this proposal is to break new ground into the study of actions of unitary tensor categories (UTC's) on C*-algebras. Given the limited success in classifying actions of general UTC's on C*-algebras, this project proposes a full paradigm-shift. Precisely, the goal is to obtain classification of actions via classifying equivariant morphisms. Although this strategy has been successfully utilised to classify certain group actions on Kirchberg algebras, a UTC version of such a result requires the development of a series of new methods.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2025-PF
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
3000 LEUVEN
Belgium
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.