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1. K-theory and group actions on shift dynamical systems 2. Classification of shift spaces of finite types possessing the infinite dihedral groups

Grant number: 18/12482-3
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): October 01, 2018
Effective date (End): September 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Rodrigo Bissacot Proença
Grantee:Sieye Ryu
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

K-theory is useful to find algebraic invariants of dynamical systems. I would like to study the relationships between K-thoery and shift-flip systems of finite types. My long term goal is to classify shift-flip systems of finite types.

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