Finitely summable \(\gamma\)-elements for word-hyperbolic groups (Q2140255)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Finitely summable \(\gamma\)-elements for word-hyperbolic groups |
scientific article; zbMATH DE number 7529822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finitely summable \(\gamma\)-elements for word-hyperbolic groups |
scientific article; zbMATH DE number 7529822 |
Statements
Finitely summable \(\gamma\)-elements for word-hyperbolic groups (English)
0 references
20 May 2022
0 references
Summary: We present two explicit combinatorial constructions of finitely summable reduced ``Gamma''-elements \(\gamma_r\in KK(C^*_r(\Gamma),\mathbb{C})\) for any word-hyperbolic group \((\Gamma,S)\) and obtain summability bounds for them in terms of the cardinality of the generating set \(S\subset\Gamma\) and the hyperbolicity constant of the associated Cayley graph.
0 references
hyperbolic group
0 references
rips complex
0 references
Fredholm module
0 references
Kasparov theory
0 references
\(\gamma\)-element
0 references
0 references
0.87084717
0 references
0 references
0.8630959
0 references
0.8622296
0 references
0.8596888
0 references
