Objective
We study group actions on C*-algebras from a structure and classification point of view, importing concepts from the Elliott classification program into the equivariant context. The challenge is to advance the structure theory for natural classes of actions of amenable groups on C*-algebras. In a similar vein, we shall consider flows on C*-algebras, which are the mathematical abstractions of time evolutions. The objectives of this proposal are:
A: Establish an Ocneanu-type rigidity result for actions of amenable groups on strongly self-absorbing C*-algebras as well as the automatic tensorial absorption of such actions under natural conditions.
B: Obtain an equivariant version of the KK-theoretic stable uniqueness theorem à la Lin-Dadarlat-Eilers.
C: Study the rigid behavior of flows on Kirchberg algebras with the Rokhlin property, in order to solve a long-standing open problem set out by Kishimoto. We also consider other natural classes of flows without the Rokhlin property, the projected classification of which will solve open problems such as Robert's conjecture and part of the Toms-Winter conjecture.
The solution to this challenge employs equivariant generalizations of important classical concepts like strong self-absorption, W*-bundles, KK-theory, and combines these with known concepts like Rokhlin dimension in an innovative way. The projected results are ground-breaking for the field of C*-algebras, and the methods to obtain them go well beyond the state-of-the-art. The projects are chosen to maximize the transfer of knowledge between the ER and the supervisor. Taking into account the excellent opportunities for professional training and public engagement provided by the University of Aberdeen as well as the other suggested activities described in the proposal, the MSC IF will have a substantial impact on the ER’s career, qualifying him for a permanent position at a research-driven institution after completing the fellowship.
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.
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics mathematical analysis functional analysis operator algebra
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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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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)
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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) H2020-MSCA-IF-2016
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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.
1165 KOBENHAVN
Denmark
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.