Semigroup actions on operator algebras

56 mins 59 secs,  268.54 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  643.41 kbits/sec
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Description: Kakariadis, E (University of Newcastle upon Tyne)
Tuesday 28th February 2017 - 14:00 to 15:00
 
Created: 2017-03-14 11:02
Collection: Operator algebras: subfactors and their applications
Publisher: Isaac Newton Institute
Copyright: Kakariadis, E
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
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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