Exotic cyclic cohomology classes and Lipschitz algebras

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Standard

Exotic cyclic cohomology classes and Lipschitz algebras. / Goffeng, Magnus; Nest, Ryszard.

I: Annals of K-Theory, Bind 8, Nr. 2, 2023, s. 221-243.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Goffeng, M & Nest, R 2023, 'Exotic cyclic cohomology classes and Lipschitz algebras', Annals of K-Theory, bind 8, nr. 2, s. 221-243. https://doi.org/10.2140/akt.2023.8.221

APA

Goffeng, M., & Nest, R. (2023). Exotic cyclic cohomology classes and Lipschitz algebras. Annals of K-Theory, 8(2), 221-243. https://doi.org/10.2140/akt.2023.8.221

Vancouver

Goffeng M, Nest R. Exotic cyclic cohomology classes and Lipschitz algebras. Annals of K-Theory. 2023;8(2):221-243. https://doi.org/10.2140/akt.2023.8.221

Author

Goffeng, Magnus ; Nest, Ryszard. / Exotic cyclic cohomology classes and Lipschitz algebras. I: Annals of K-Theory. 2023 ; Bind 8, Nr. 2. s. 221-243.

Bibtex

@article{52a4d2ce6e944c779b0799406d3d8892,
title = "Exotic cyclic cohomology classes and Lipschitz algebras",
abstract = "We study the noncommutative geometry of algebras of Lipschitz continuous and H{\"o}lder 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{\textquoteright}s relative sequence in K-theory.",
keywords = "algebraic K-theory, cyclic cohomology, Lipschitz algebras, singular traces",
author = "Magnus Goffeng and Ryszard Nest",
note = "Publisher Copyright: {\textcopyright} 2023 MSP (Mathematical Sciences Publishers).",
year = "2023",
doi = "10.2140/akt.2023.8.221",
language = "English",
volume = "8",
pages = "221--243",
journal = "Annals of K-Theory",
issn = "2379-1683",
publisher = "K-Theory Foundation, Inc.",
number = "2",

}

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