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Semigroup actions on operator algebras

Presented by: 
Evgenios Kakariadis University of Newcastle upon Tyne
Tuesday 28th February 2017 - 14:00 to 15:00
INI Seminar Room 2
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons