论文信息 - Extending states on preordered semigroups and the existence of quasitraces on C∗-algebras

Extending states on preordered semigroups and the existence of quasitraces on C∗-algebras

Abstract It is shown that every state on a subsemigroup of a scaled preordered semigroup extends to the whole semigroup, extending a theorem of Goodearl and Handelman. As an application, every state on K0(A) for a unital C∗-algebra A comes from a quasitrace.

Mikael Rørdam | B. Blackadar | Bruce Blackadar | M. Rørdam

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