Speaker: Yusuke Isono (Univ. Tokyo)
Title: Some prime factorization results for free quantum group factors
Time/Date: 4:30-6:00pm, Wednesday, October 16, 2013
Room: 118 Math. Sci. Building
Abstract: Ozawa and Popa proved some unique factorization properties for tensor products of free group factors. Roughly speaking, it means such a tensor product "remembers" each tensor component. In this seminar, we study similar factorization results for free quantum group factors. In the II_1 factor case, we can follow Ozawa-Popa's method for free group factors. In the general case, we use continuous cores. More precisely, we observe a condition (AO) type phenomena for cores of the tensor products and then deduce some weak factorization properties.