Hecke algebras of semidirect products
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Publication:4804069
DOI10.1090/S0002-9939-02-06851-XzbMath1029.46108arXivmath/0106264OpenAlexW1848352190MaRDI QIDQ4804069
Publication date: 10 April 2003
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0106264
Related Items (9)
On enveloping \(C^\ast\)-algebras of Hecke algebras ⋮ Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ Covariant representations of Hecke algebras and imprimitivity for crossed products by homogeneous spaces ⋮ Various commensurability relations in Hecke pairs and property (RD) ⋮ Hecke algebras of semidirect products and the finite part of the Connes-Marcolli \(C^*\)-algebra ⋮ Hecke algebras for protonormal subgroups. ⋮ GENERALIZED HECKE ALGEBRAS AND C*-COMPLETIONS ⋮ Hecke Algebras of Group Extensions ⋮ Phase transitions on Hecke C*-algebras and class-field theory over ℚ
Cites Work
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- Semigroup crossed products and Hecke algebras arising from number fields
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- Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
- Crossed products of \(C^*\)-algebras by endomorphisms
- Semigroup crossed products and the Toeplitz algebras of nonabelian groups
- Representations of Hecke Algebras and Dilations of Semigroup Crossed Products
- Hecke algebras
- A Semigroup Crossed Product Arising in Number Theory
- Faithful representations of crossed products by actions of $\boldsymbol N^k$
- From Endomorphisms to Automorphisms and Back: Dilations and Full Corners
- Shape theory for $C^*$-algebras.
- Phase transitions on Hecke C*-algebras and class-field theory over ℚ
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