$\ell^2$-Betti numbers of random rooted simplicial complexes
| Autor: | Schrödl, Michael |
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| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00229-019-01131-y |
| Popis: | We define unimodular measures on the space of rooted simplicial complexes and associate to each measure a chain complex and a trace function. As a consequence, we can define $\ell^2$-Betti numbers of unimodular random rooted simplicial complexes and show that they are continuous under Benjamini-Schramm convergence. Comment: Added references and Example 19; small corrections in the proof of Lemma 4 |
| Databáze: | arXiv |
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