컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0603 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Functional Analysis and Applications (SS-09) |
| 영문제목 (Title(Eng.)) |
On the classification of simple $C^*$-algebras |
| 저자(Author(s)) |
Huaxin Lin1 University of Oregon1 |
| 초록본문(Abstract) | Let $X$ be a compact Huasdorff space and let $C(X)$ be the $C^*$-algebra of all continuous functions on $X.$ Every unital commutative $C^*$-algebra is isomorphic to $C(X)$ for some such $X.$ Topological sturcture of $X$ is determined by the algebraic stucture of $C(X).$ We study non-commutative $C^*$-algebras in the point of view of non-commutative topology. We study those most non-commutative $C^*$-algebras, infinite dimensional simple $C^*$-algebras. Let $A$ and $B$ be two unital separable amenable simple $C^*$-algebras. We study the problem when $A$ and $B$ are isomorphic. With certain regularity assumption, $A$ and $B$ are determined by the Elliott invariant, a set of $K$-theoretic invariant. We will report some of the recent development. |
| 분류기호 (MSC number(s)) |
46L35 |
| 키워드(Keyword(s)) | classification, simple $C^*$-algebras |
| 강연 형태 (Language of Session (Talk)) |
English |