Dr. Evgenios Kakariadis | Semigroup actions on operator algebras

Описание: Speaker: Dr Evgenios Kakariadis (University of Newcastle upon Tyne)
Date: 28th Feb 2017 - 14:00 to 15:00
Venue: INI Seminar Room 2
Title: Semigroup actions on operator algebras
Event: (OAS) Operator algebras: subfactors and their applications
Abstract: We will present a dilation technique from
commuting endomorphisms to commuting automophisms on a larger C*-algebra such
that the corresponding (minimal) Cuntz-Nica-Pimsner algebras are strong Morita
equivalent. Hence we can reduce problems on semigroup actions to problems on
group actions. Further consequences of our analysis include the association of
the ideal structure/nuclearity/exactness of the Nica-Pimsner algebras with
minimality-freeness/nuclearity/exactness of the C*-dynamics.

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