arXiv Open Access 2011

Six-Term Exact Sequences for Smooth Generalized Crossed Products

Olivier Gabriel Martin Grensing

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Abstrak

We define smooth generalized crossed products and prove six-term exact sequences of Pimsner-Voiculescu type. This sequence may, in particular, be applied to smooth subalgebras of the Quantum Heisenberg Manifolds in order to compute the generators of their cyclic cohomology. Our proof is based on a combination of arguments from the setting of (Cuntz-)Pimsner algebras and the Toeplitz proof of Bott-periodicity.

Topik & Kata Kunci

math.KT math.OA

Penulis (2)

Olivier Gabriel

Martin Grensing

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APA MLA BibTeX

Gabriel, O., Grensing, M. (2011). Six-Term Exact Sequences for Smooth Generalized Crossed Products. https://arxiv.org/abs/1111.2154

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Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓