Popa’s averaging property for automorphisms on C*-algebras
報(bào)告人簡(jiǎn)介
Mikael R?rdam教授是華東師范大學(xué)榮譽(yù)教授、丹麥皇家科學(xué)院院士、哥本哈根大學(xué)教授，國(guó)際算子代數(shù)研究領(lǐng)域的領(lǐng)軍人物。R?rdam教授長(zhǎng)期致力于算子代數(shù)、動(dòng)力系統(tǒng)、幾何群論、K-理論等領(lǐng)域的研究，其研究成果發(fā)表在A(yíng)nnals of Mathematics、Acta Mathematica等頂尖的數(shù)學(xué)雜志上，文章總引用率達(dá)2800多次。由于在C*-代數(shù)的結(jié)構(gòu)和分類(lèi)理論中的卓越工作，2006年，他應(yīng)邀在馬德里召開(kāi)的第25屆國(guó)際數(shù)學(xué)家大會(huì)（ICM）上作特邀報(bào)告。
內(nèi)容簡(jiǎn)介
In his study of the relative Dixmier property for von Neumann algebras and C*-algebras, Popa introduced a property of an automorphism, which can be thought of as a twisted Dixmier averaging property. We give an almost complete characterization of when an automorphism has this property. We further show how one can use this property to give much easier and more transparent proofs of a number of results on the inclusion of a C*-algebra into its crossed product C*-algebra by a group of automorphisms, assuming the automorphisms have averaging property.
