On the dependence and the equivalence between algebraic and topological properties of C ASTERISK OPERATOR Algebras and their module categories, and combinatorial principles extending ZFC.

Abstrakt

In the recent talk, we try to obtain some combinatorial principles from "seemingly" innocent algebraic or topological properties of C* algebras, although the definitions are well-known and actually they strictly relies on ZFC, it turns out that many open questions are simply equivalent to combinatorial ones, which definitely cannot be derived in ZFC.

Klíčová slova

• C* - Algebras
• categories
• combinatorial
• principles
• ZFC.