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BEGIN:VEVENT
DTSTAMP:20260426T172615Z
DTSTART:20260420T130000Z
SUMMARY:Dynamical Systems and Analysis Seminar - Rachid El Harti
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}i230-mog1g5
 nv-gm9s9j
DESCRIPTION:Speaker: Rachid El Harti (Hassan University)\n\nTitle: Embedd
 ing theorems in Groupoid C*-algebras\n\nAbstract: Since groupoids genera
 lize groups\, we explore whether the theory of group algebras can be ext
 ended to groupoid algebras. We define the convolution algebra C_c(G)\, t
 he Banach algebra L^1(G)\, and both the full and the reduced C*-algebras
  C^*(G) and C^*_r(G) associated with a locally compact groupoid G.\n\nLe
 t G be a discrete group acting on a locally compact Hausdorff  space X\,
  and  let U denote the unitary group of C_b(X)\, the C^*-algebra of boun
 ded continuous functions on X.  In this paper\, we show that the transfo
 rmation groupoid C^*-algebra C^*(X \\times G) is a quotient of the group
  C^*-algebra C^*(U\\rtimes G) associated with the semidirect product U\\
 rtimes G.\n\nFurthermore\, we address embedding problems for subgroupoid
  C*-algebras: given a locally compact groupoid G and an open subgroupoid
  H\\subset G\, we prove the existence of injective *-homomorphisms \\iot
 a : C^*_r(H) \\hookrightarrow C^*_r(G) and similarly for the full C*-alg
 ebras. We also show that these embeddings extend naturally to their dual
 s and double duals. This extends the classical embedding theory for grou
 ps\, where the C*-algebras of an open subgroup embed naturally into thos
 e of the ambient group.\n       \nRoom: Frank Adams 1\n\nFurther informa
 tion: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynam
 ics_analysis
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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