Yoshimichi Ueda: Spherical representations of C*-flows
C*-algebra seminar talk by Yoshimichi Ueda (Nagoya)
The talk will be online, via zoom. Contact Sergey Neshveyev if you want to join.
Title: Spherical representations of C*-flows
Abstract: We propose an abstract framework of a kind of representation theory for C*-flows, i.e., C*-algebras equipped with one-parameter automorphism groups, as a proper generalization of Olshanski's formalism of unitary representation theory for infinite-dimensional groups such as the infinite-dimensional unitary group U(∞). The present framework, in particular, clarifies some overlaps and/or similarities between a certain unitary representation theory of infinite-dimensional groups and existing works in operator algebras, and captures arbitrary projective chains arising from links.