An asymmetric multiparameter CCR flow

Abstract: The theory of E_0-semigroups initiated by R.T. Powers and developed extensively by Arveson has been an active area of research for well over thirty years. An E_0-semigroup is a 1-parameter semigroup of unital normal *-endomorphisms of B(H) where H is a Hilbert space.

However, nothing prevents us from considering semigroups of endomorphisms indexed by more general semigroups. This was analysed in collaboration with Anbu Arjunan, S.P. Murugan and R. Srinivasan.

I will explain a few similarities between the one parameter theory and the multiparameter theory. Also, there are significant differences. I will attempt to illustrate one difference by explaining that a multiparameter CCR flow need not be symmetric.

functional analysisK-theory and homologyoperator algebras

Audience: researchers in the topic

Webinars on Operator Theory and Operator Algebras