Z is universal

We use order zero maps to express the Jiang-Su algebra Z as a universal C*-algebra on countably many generators and relations, and we show that a natural deformation of these relations yields the stably projectionless algebra W studied by Kishimoto, Kumjian and others. Our presentation is entirely explicit and involves only *-polynomial and order relations.Comment: 12 page

Z-stability, finite dimensional tracial boundaries and continuous rank functions

We observe that a recent theorem of Sato, Toms–White–Winter and Kirchberg–Rørdam also holds for certain nonunital C*-algebras. Namely, we show that an algebraically simple, separable, nuclear, nonelementary C*-algebra with strict comparison, whose cone of densely finite traces has as a base a Choquet simplex with compact, finite dimensional extreme boundary, and which admits a continuous rank function, tensorially absorbs the Jiang–Su algebra Z

A simple, monotracial, stably projectionless C*-algebra

We construct a simple, nuclear, stably projectionless C*-algebra W which has trivial K-theory and a unique tracial state, and we investigate the extent to which W might fit into the hierarchy of strongly self-absorbing C*-algebras as an analogue of the Cuntz algebra O_2. In this context, we show that every nondegenerate endomorphism of W is approximately inner and we construct a trace-preserving embedding of W into the central sequences algebra M(W)_\infty \cap W'. We conjecture that W\otimes W is isomorphic to W and we note some implications of this, for example that W would be absorbed tensorially by a certain class of nuclear, stably projectionless C*-algebras. Finally, we explain why W may play some role in the classification of such algebras.Comment: 16 pages; Theorem 5.1 is now Conjecture 5.1; to appear in J. London Math. So

Applications of C∗\mathrm{C}^*-classification

We provide some background on the category of classifiable $\mathrm{C}^*$-algebras, whose objects are infinite-dimensional, simple, separable, unital $\mathrm{C}^*$-algebras that have finite nuclear dimension and satisfy the universal coefficient theorem, and describe some applications of the classification of objects in, and morphisms into, this category.Comment: These are lecture notes for the minicourse of the same name delivered during the 2023 Operator Algebras That One Can See Simons Semester at the Institute of Mathematics of the Polish Academy of Science

A stably finite analogue of the Cuntz algebra O2

The Elliott Programme seeks classification of simple, separable, nuclear $C^*$-algebras via a functor based on $K$-theory. There are a handful of $C^*$-algebras, including the Cuntz algebras $\mathcal{O}_2$ and $\mathcal{O}_\infty$, that play particularly important roles in the programme. It is principally in this context that the Jiang-Su algebra $\mathcal{Z}$ is regarded as an analogue of $\mathcal{O}_\infty$, and this thesis proposes an analogue of $\mathcal{O}_2$ in a similar fashion. More specifically, we construct a simple, nuclear, stably projectionless $C^*$-algebra $W$ which has trivial $K$-theory and a unique tracial state, and we prove that $W$ shares some of the properties of the $C^*$-algebras named above. In particular, we show that every trace-preserving endomorphism of $W$ is approximately inner, and that $W$ admits a trace-preserving embedding into the central sequences algebra $M(W)\cap W'$. While we do not quite prove that $W\otimes W \cong W$, we show how this can be deduced from a conjectured generalization of an existing classification theorem. Assuming this conjecture, we also show that $W$ is absorbed tensorially by a large class of $C^*$-algebras with trivial $K$-theory. Finally, we provide presentations of both $\mathcal{Z}$ and $W$ as universal $C^*$-algebras, leading us to suggest that, in addition to its position as a stably finite analogue of $\mathcal{O}_2$, $W$ may be also thought of, both intrinsically and extrinsically, as a stably projectionless analogue of $\mathcal{Z}$

Older adults experiences of rehabilitation in acute health care

Rehabilitation is a key component of nursing and allied healthcare professionals’ roles in most health and social care settings. This paper reports on stage 2 of an action research project to ascertain older adult's experience of rehabilitation. Twenty postdischarge interviews were conducted and the interview transcripts were analysed using thematic content analysis. All older adults discharged from an acute older acute rehabilitation ward to their own homes in the community were eligible to participate. The only exclusion criterion was older adults who were thought to be unable to give consent to participate by the nurse in charge and the researcher. Whilst 92 older adults were eligible to participate in this research study, only 20 were interviewed. The findings from this study suggest that older adults valued communication with health professionals but were aware of their time constraints that hindered communication. This study suggests that both nurses and allied health professionals are not actively providing rehabilitative services to promote health and well-being, which contradicts the focus of active ageing. Furthermore, there was evidence of unmet needs on discharge, and older adults unable to recall the professions that were involved in their interventions and the rationale for therapy input. It is suggested that further research is needed to explore the effectiveness of allied health rehabilitation in the acute setting. This study highlights the need for further research into older adults’ perceptions of the rehabilitation process in the acute setting

Managing personal integrity: A grounded theory of elderly people surviving hospitalization

The goal of this grounded theory research was to develop a substantive theory of the social processes engaged in by elderly people while in the hospital. The derived theory is entitled Managing Personal Integrity. Within the theory, Personal Integrity is defined as a dynamic, intrinsic quality of the self which has properties composed of physical and psychological attributes

An Analysis of the Concept of Patient Flow Management

Aim: To analyze the concept of patient flow management. Background: Patient flow has a significant impact on the provision of patient care. The term “patient flow” is widely used, but the related concept of patient flow management has been poorly defined. The ability to differentiate and clarify the term patient flow management has implications on strategies to improve patient flow. Design: Rodgers evolutionary method of concept analysis. Data Source: Literature published between 2000 and 2021 in the PubMed, CINAHL, and Business Source databases. Review Methods: Inductive analysis of the literature was performed to identify the usage and features of the concept. Results: Patient flow management is defined as the application of holistic perspectives, dynamic data, and complex considerations of multiple priorities to enable timely, efficient, and high‐quality patient care. Patient flow management requires the identification of a patient, care processes, a flow manager, and frontline staff. It has profound consequences on patient, staff, and hospital system outcomes. Conclusions: Literature should more carefully delineate between “patient flow” and patient flow management. Effective patient flow management increases the speed and quality of patient care, improves employee satisfaction, and reduces healthcare costs. Strategies to improve patient flow management should focus on understanding the role and interventions of flow management nurses