Work

A few remarks on intermediate subalgebras of an inclusion of C∗-algebras

Year: 2025

Type: article

Abstract: In this paper, we show that the angle between intermediate [Formula: see text]-subalgebras of an inclusion of simple [Formula: see text]-algebras with finite Watatani index is stable. The notion of angle is instrumental in providing a bound for the cardinality of the lattice of intermediate subalgebras for an irreducible inclusion of simple [Formula: see text]-algebras with finite Watatani index. We improve the existing upper bound for the cardinality of this set.

Source: Infinite Dimensional Analysis Quantum Probability and Related Topics

DOI: 10.1142/s0219025725500067

Authors: Keshab Chandra Bakshi, Satyajit Guin, Debabrata Jana

Institution: Indian Institute of Technology Kanpur

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Science and Engineering Research Board

Award: G6367718596