arXiv Open Access 2026

Angles Between Intermediate Operator Subalgebras

Ved Prakash Gupta Deepika Sharma

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Abstrak

Motivated by [2] and [5], the notions of interior and exterior angles between a pair of compatible intermediate W*-subalgebras of an inclusion of W*-algebras with a normal conditional expectation with finite probabilistic index are introduced. This is then employed effectively to define the interior angle between a pair of compatible intermediate C*-subalgebras of an inclusion of non-unital C*-algebras with a conditional expectation with finite Watatani index. It is also shown that the interior angle is stable under the minimal tensor product of unital C*-algebras.

Topik & Kata Kunci

math.OA

Penulis (2)

Ved Prakash Gupta

Deepika Sharma

Format Sitasi

APA MLA BibTeX

Gupta, V.P., Sharma, D. (2026). Angles Between Intermediate Operator Subalgebras. https://arxiv.org/abs/2602.03694

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓