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Semigroup C *-algebras

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K-Theory for Group C*-Algebras and Semigroup C*-Algebras

Part of the book series: Oberwolfach Seminars ((OWS,volume 47))

Abstract

A semigroup C *-algebra is the C *-algebra generated by the left regular representation of a left cancellative semigroup. In the case of groups, this is the classical construction of reduced group C *-algebras, which received great interest and serves as a motivating class of examples in operator algebras.

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Li, X. (2017). Semigroup C *-algebras. In: K-Theory for Group C*-Algebras and Semigroup C*-Algebras. Oberwolfach Seminars, vol 47. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-59915-1_5

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