Research
Title : | Classification of graph C*-algebras as S^1 principal bundles |
Area of research : | Mathematical Sciences |
Principal Investigator : | Dr. Soumalya Joardar, Indian Institute Of Science Education And Research (IISER) Kolkata, West Bengal |
Timeline Start Year : | 2023 |
Timeline End Year : | 2026 |
Contact info : | soumalya.j@gmail.com |
Details
Executive Summary : | The goal of the project is to classify all graph C*-algebras which are S^{1}-quantum principal bundles over base spaces which are also graph C*-algebras. The motivating example is quantum sphere and quantum projective space. The crossed products with respect to the integer action on C*-algebras are particular examples of S^{1}-quantum principal bundles. The K-theory of crossed product by integer group actions are well known and are computable via Pimsmer-Voiculescu sequence. Researchers propose to develop tools to compute the K-theory of the S^{1}-quantum principal bundles and see if there is any K-theoretic obstruction to graph C*-algebras being a S^{1}-quantum principal bundles. |
Total Budget (INR): | 6,60,000 |
Organizations involved
Implementing Agency : | Indian Institute Of Science Education And Research (IISER) Kolkata, West Bengal Funding Agency :Anusandhan National Rsearch Foundation (ANRF)/Science and Engineering Research Board (SERB) | Source :Science and Engineering Research Board (SERB), DST 2022-23 | |