Exotic cyclic cohomology classes and Lipschitz algebras
Research output: Contribution to journal › Journal article › Research › peer-review
Standard
Exotic cyclic cohomology classes and Lipschitz algebras. / Goffeng, Magnus; Nest, Ryszard.
In: Annals of K-Theory, Vol. 8, No. 2, 2023, p. 221-243.Research output: Contribution to journal › Journal article › Research › peer-review
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - Exotic cyclic cohomology classes and Lipschitz algebras
AU - Goffeng, Magnus
AU - Nest, Ryszard
N1 - Publisher Copyright: © 2023 MSP (Mathematical Sciences Publishers).
PY - 2023
Y1 - 2023
N2 - We study the noncommutative geometry of algebras of Lipschitz continuous and Hölder continuous functions, where nonclassical and novel differential geometric invariants arise. Indeed, we introduce a new class of Hochschild and cyclic cohomology classes that pair nontrivially with higher algebraic K-theory yet vanish when restricted to the algebra of smooth functions. Said cohomology classes provide additional methods to extract numerical invariants from Connes– Karoubi’s relative sequence in K-theory.
AB - We study the noncommutative geometry of algebras of Lipschitz continuous and Hölder continuous functions, where nonclassical and novel differential geometric invariants arise. Indeed, we introduce a new class of Hochschild and cyclic cohomology classes that pair nontrivially with higher algebraic K-theory yet vanish when restricted to the algebra of smooth functions. Said cohomology classes provide additional methods to extract numerical invariants from Connes– Karoubi’s relative sequence in K-theory.
KW - algebraic K-theory
KW - cyclic cohomology
KW - Lipschitz algebras
KW - singular traces
UR - http://www.scopus.com/inward/record.url?scp=85162920615&partnerID=8YFLogxK
U2 - 10.2140/akt.2023.8.221
DO - 10.2140/akt.2023.8.221
M3 - Journal article
AN - SCOPUS:85162920615
VL - 8
SP - 221
EP - 243
JO - Annals of K-Theory
JF - Annals of K-Theory
SN - 2379-1683
IS - 2
ER -
ID: 359597271