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UID:606@math.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20260127T113000

DTEND;TZID=Asia/Jerusalem:20260127T123000

DTSTAMP:20260117T075722Z

URL:https://math.technion.ac.il/events/noncommutative-analysis-seminar-sur
 yawanshi/

SUMMARY:Twisted representations of product systems of C*-correspondences: W
 old decomposition and unitary extensions (Suryawanshi)
DESCRIPTION:Lecturer:Mansi Suryawanshi (Technion)\n Location:Amado 814 and 
 zoom\n We investigate Wold-type decompositions and unitary extension probl
 ems for multivariable isometric covariant representations associated with 
 product systems of C*-correspondences. First\, we establish an operator-t
 heoretic characterization for the existence of a Wold decomposition for th
 e k-tuple consisting of isometric covariant representations of a C*-corre
 spondences. We then introduce twisted and doubly twisted covariant represe
 ntations of product systems. For doubly twisted isometric representations\
 , we prove the existence of a Wold decomposition\, recovering earlier resu
 lts for doubly commuting representations as special cases. We further obta
 in explicit descriptions of the resulting Wold summands and develop concre
 te Fock-type models realizing each component. We present non-trivial examp
 les of these families. Finally\, we construct unitary extensions via a dir
 ect-limit procedure. As applications\, we obtain unitary extensions for se
 veral previously studied classes of operator tuples\, including doubly twi
 sted\, doubly non-commuting\, and doubly commuting isometries\, and for a 
 special class of doubly twisted representations of a product system.\n htt
 ps://technion.zoom.us/j/96498034171
CATEGORIES:Noncommutative Analysis Seminar,Seminars
LOCATION:Amado 814 and zoom

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DTSTART:20251026T010000

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