¡¾Ð£ÇìÑ§Êõ±¨¸æ¡¿Hausdorffified algebraic K1-groups and invariants for C*-algebras with the ideal property

Guihua Gong ¹¨¹ó»ª  (University of Puerto Rico, USA)

10:00-11:00, September 20, 2022   Tencent Meeting ID: 963 528 789

Abstract:

A C*-algebra A is said to have the ideal property if each closed two-sided ideal of A is generated as a closed two-sided ideal by the projections inside the ideal. C*-algebras with the ideal property are a generalization and unification of real rank zero C*-algebras and unital simple C*-algebras. We show that a certain new algebraic K1-invariant becomes the complete invariant for AH algebras (of no dimension growth) with the ideal property.