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JOURNALS // Moscow Mathematical Journal // Archive

Mosc. Math. J., 2018 Volume 18, Number 4, Pages 787–797 (Mi mmj696)

Invariants of noncommutative projective schemes

Gonçalo Tabuadaabc

a Department of Mathematics, MIT, Cambridge, MA 02139, USA
b Centro de Matemática e Aplicações (CMA), FCT, UNL, Portugal
c Departamento de Matemática, FCT, UNL, Portugal

Abstract: In this note we compute several invariants (e.g., algebraic $K$-theory, cyclic homology and topological Hochschild homology) of the noncommutative projective schemes associated to Koszul algebras of finite global dimension.

Key words and phrases: noncommutative algebraic geometry, projective geometry, Koszul duality, algebraic $K$-theory, cyclic homology and its variants, topological Hochschild homology.

MSC: 14A22, 14N05, 16S37, 19D55, 19E08

Language: English

DOI: 10.17323/1609-4514-2018-18-4-787-797



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