Simplicial homology of strong semilattices of Banach algebras
Yemon Choi
Abstract
Certain semigroups are known to admit a `strong semilattice decomposition' into simpler pieces. We introduce a class of Banach algebras that generalise the 1-convolution algebras of such semigroups, and obtain a disintegration theorem for their simplicial homology. Using this we show that for any Clifford semigroup S of amenable groups, 1(S) is simplicially trivial: this generalises results in YCGMJ. Some other applications are presented.
Create a lesson
Related papers
Truncated Moment Problems and the Extension Property on Monomial Curves
Rajkamal Nailwal, Aljaž Zalar, Igor Zobovič
Optimal stability of regularized spectral differentiation in Sobolev spaces
Teemu Tyni
Modular Topologies on Vector Spaces: Structure and Normability
M. Khamsi, J. Lang, O. Mendez
Critical Norm Profiles for Finite-Prime Composition Operators on the Hardy Space of Dirichlet Series
Xiang Fang, Feng Guo, Aman Mishra et al.
Sparse Operators and their boundedness on Morrey-type Spaces: An Expository Note
Manasa N. Vempati
Sharp Concave-Function Transfer for Lee-Type Schatten Norm Inequalities
Xing Li