PhD defence
Subproduct Systems and C*-algebras
- Y. Ge
- Date
- Wednesday 22 October 2025
- Time
- Location
-
Academy Building
Rapenburg 73
2311 GJ Leiden
Supervisor(s)
Summary
This thesis studies operator-algebraic aspects of subproduct systems, a generalization of product systems of Hilbert spaces. We study the Toeplitz and Cuntz--Pimsner C*-algebras attached to a subproduct system and analyze their structure and K-theory groups. In particular, motivated by the quadratic algebras, we introduce quadratic subproduct systems and study three operations of quadratic algebras.
The main results include explicit K-theory group computations of associated Toeplitz algebras. The proofs use tools from functional analysis, operator algebras, and K-theory, together with combinatorial properties of the underlying subproduct systems. The work shows how the algebraic information of a subproduct system determines invariants of the associated C*-algebras and provides novel examples with interesting K-theory groups.
PhD dissertations
Approximately one week after the defence, PhD dissertations by Leiden PhD students are available digitally through the Leiden Repository, that offers free access to these PhD dissertations. Please note that in some cases a dissertation may be under embargo temporarily and access to its full-text version will only be granted later.
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