$C(X)$-Algebras and their K-Stability

Abstract: Non-stable K-theory is the study of the homotopy groups of the group of (quasi-) unitaries of a $C^{*}$-algebra. We will give an overview of the theory, and discuss a special class of $C^{*}$-algebras, termed as K-stable $C^{*}$-algebras along with its rational analogue. We shall give a permanence property related to K-stability (rational K-stability) concerning continuous $C(X)$-algebras. We will end with an application of the aforementioned result to crossed product $C^{*}$-algebras.

operator algebras

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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