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Texas A&M University
Mathematics

Workshop in Analysis and Probability Seminar

Date: July 18, 2023

Time: 3:00PM - 4:00PM

Location: BLOC 302

Speaker: Ryo Toyota, Texas A&M University

  

Title: Spectral approximations of noncommutative spaces

Abstract: A spectral triple (A,H,D) is an operator theoretic generalization of the notion of space, which consists of a Hilbert space H and *-subalgebra A of B(H) and a self adjoint unbounded operator D. We discuss how to recover K-theoretic information of a spectral triple when we restrict it to finite dimensional spectral projections of D. I will give a brief introduction of noncommutative geometry and K-theory.