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SUMMARY:Nuclearity for Toeplitz algebras associated to product systems - C
 amila Sehnem (University of Waterloo)
DTSTART:20250717T155000Z
DTEND:20250717T161000Z
UID:TALK233266@talks.cam.ac.uk
DESCRIPTION:A correspondence over a C*-algebra $A$ is a right Hilbert $A$-
 module equipped with a nondegenerate left action of $A$ by adjointable ope
 rators. A correspondence may be viewed as an action of $\\mathbb{N}$ by ge
 neralized endomorphisms of $A$. The analogue of a correspondence in the co
 ntext of general semigroups is called aproduct system. In this talk I will
  consider Toeplitz algebras associated to product systems over group-embed
 dable monoids and discuss nuclearity for these algebras in relation to the
  coefficient algebra beyond the case of single correspondences and compact
 ly aligned product systems over right LCM monoids. &nbsp\;We show that nuc
 learity of the Toeplitz algebra is equivalent tonuclearity of the coeffici
 ent algebra for every full product system of Hilbert bimodulesover abelian
  monoids and over Baumslag&ndash\;Solitarmonoids. This is joint work with 
 E. Katsoulis and M. Laca.
LOCATION:External
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